The cavitated bifurcation problem in a solid sphere composed oftwo compressible hyper-elas- tic materials is examined. Thebifurcation solution for the composed sphere under a uniform radialtensile boundary dead-load i...The cavitated bifurcation problem in a solid sphere composed oftwo compressible hyper-elas- tic materials is examined. Thebifurcation solution for the composed sphere under a uniform radialtensile boundary dead-load is obtained. The bifurcation curves andthe stress contributions subsequent to the cavita- tion are given.The right and left bifurcation as well as the catastrophe andconcentration of stresses are ana- lyzed. The stability of solutionsis discussed through an energy comparison.展开更多
In this paper, the strain energy function proposed by Shang and Cheng was generalized by introducing a nonlinear term. Void formation and growth in the interior of a sphere composed of compressible hyper-elastic mater...In this paper, the strain energy function proposed by Shang and Cheng was generalized by introducing a nonlinear term. Void formation and growth in the interior of a sphere composed of compressible hyper-elastic material, subjected to a prescribed uniform displacement, was examined. A parametric cavitated bifurcation solution for the radial deformed function was obtained. Stability of the solution of the cavitated bifurcation equation was discussed. With the appearance of a cavity, an interesting feature of the radial deformation near the deformed cavity wall is the transition from extension to compression.展开更多
Dynamical responses, such as motion and destruction of hyper-elastic cylindrical shells subject to periodic or suddenly applied constant load on the inner surface, are studied within a framework of finite elasto-dynam...Dynamical responses, such as motion and destruction of hyper-elastic cylindrical shells subject to periodic or suddenly applied constant load on the inner surface, are studied within a framework of finite elasto-dynamics. By numerical computation and dynamic qualitative analysis of the nonlinear differential equation, it is shown that there exists a certain critical value for the internal load describing motion of the inner surface of the shell. Motion of the shell is nonlinear periodic or quasi-periodic oscillation when the average load of the periodic load or the constant load is less than its critical value. However, the shell will be destroyed when the load exceeds the critical value. Solution to the static equilibrium problem is a fixed point for the dynamical response of the corresponding system under a suddenly applied constant load. The property of fixed point is related to the property of the dynamical solution and motion of the shell. The effects of thickness and load parameters on the critical value and oscillation of the shell are discussed.展开更多
An efficient hyper-elastic model that can reflect the primary mechanical behaviors of Carbon-Kevlar hybrid woven reinforcement was developed and implemented with VUMAT constitutive code for preforming simulation.The m...An efficient hyper-elastic model that can reflect the primary mechanical behaviors of Carbon-Kevlar hybrid woven reinforcement was developed and implemented with VUMAT constitutive code for preforming simulation.The model parameters were accurately determined through the uniaxial and bias-extension tests.To calibrate the simulation code,preforming experiments of hybrid woven reinforcement over the hemisphere mold and tetrahedron mold were respectively conducted to validate the proposed hyper-elastic model.The comparison between the simulations and experiments shows that the model can not only accurately capture shear angle distribution and geometry shape after deformation,but also accurately predict the force–displacement curve and potential fiber tensile failure during the preforming process.This result indicates that the proposed model can be used to predict the preforming behavior of Carbon-Kevlar hybrid woven reinforcement,and simulate its manufacturing process of complicated geometry.展开更多
The deformations and stresses of a rotating cylindrical hollow disk made of incompressible functionally-graded hyper-elastic material are theoretically analyzed based on the finite elasticity theory.The hyper-elastic ...The deformations and stresses of a rotating cylindrical hollow disk made of incompressible functionally-graded hyper-elastic material are theoretically analyzed based on the finite elasticity theory.The hyper-elastic material is described by a new micro-macro transition model.Specially,the material shear modulus and density are assumed to be a function with a power law form through the radial direction,while the material inhomogeneity is thus reflected on the power index m.The integral forms of the stretches and stress components are obtained.With the obtained complicated integral forms,the composite trapezoidal rule is utilized to derive the analytical solutions,and the explicit solutions for both the stretches and the stress components are numerically obtained.By comparing the results with two classic models,the superiority of the model in our work is demonstrated.Then,the distributions of the stretches and normalized stress components are discussed in detail under the effects of m.The results indicate that the material inhomogeneity and the rotating angular velocity have significant effects on the distributions of the normalized radial and hoop stress components and the stretches.We believe that by appropriately choosing the material inhomogeneity and configuration parameters,the functionally-graded material(FGM)hyper-elastic hollow cylindrical disk can be designed to meet some unique requirements in the application fields,e.g.,soft robotics,medical devices,and conventional aerospace and mechanical industries.展开更多
The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of fini...The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of finite elasticity. For a two-family fiber-reinforced square sheet, which is in-plane symmetric and subjected to the in-plane symmetric tension in dead loading on the edges, three symmetrically deformed configu- rations and six asymmetrically deformed configurations are possible for any values of the loading. Moreover, another four bifurcated asymmetrically deformed configurations are possible for the loading beyond a certain criticM value. The stability of all the solutions is discussed in comparison with the energy of the sheet. It is shown that only one of the symmetric solutions is stable when the loading is less than the critical value. However, this symmetric solution will become unstable when the loading is larger than the critical value, while one of the four bifurcated asymmetric solutions will be stable.展开更多
The dynamical formation of cavity in a hyper_elastic sphere composed of two materials with the incompressible strain energy function, subjected to a suddenly applied uniform radial tensile boundary dead_load, was stud...The dynamical formation of cavity in a hyper_elastic sphere composed of two materials with the incompressible strain energy function, subjected to a suddenly applied uniform radial tensile boundary dead_load, was studied following the theory of finite deformation dynamics. Besides a trivial solution corresponding to the homogeneous static state, a cavity forms at the center of the sphere when the tensile load is larger than its critical value. An exact differential relation between the cavity radius and the tensile land was obtained. It is proved that the evolution of cavity radius with time displays nonlinear periodic oscillations. The phase diagram for oscillation, the maximum amplitude, the approximate period and the critical load were all discussed.展开更多
The growth of a prolate or oblate elliptic micro-void in a fiber reinforced anisotropic incompressible hyper-elastic rectangular thin plate subjected to uniaxial extensions is studied within the framework of finite el...The growth of a prolate or oblate elliptic micro-void in a fiber reinforced anisotropic incompressible hyper-elastic rectangular thin plate subjected to uniaxial extensions is studied within the framework of finite elasticity. Coupling effects of void shape and void size on the growth of the void are paid special attention to. The deformation function of the plate with an isolated elliptic void is given, which is expressed by two parameters to solve the differential equation. The solution is approximately obtained from the minimum potential energy principle. Deformation curves for the void with a wide range of void aspect ratios and the stress distributions on the surface of the void have been obtained by numerical computation. The growth behavior of the void and the characteristics of stress distributions on the surface of the void are captured. The combined effects of void size and void shape on the growth of the void in the thin plate are discussed. The maximum stresses for the void with different sizes and different void aspect ratios are compared.展开更多
From August 14 to 16,the 52nd China Beijing International Gifts,Premium&Houseware Exhibition(hereinafter referred to as Beijing Gift&Home)was held at the China International Exhibition Center(Chaoyang Pavilion...From August 14 to 16,the 52nd China Beijing International Gifts,Premium&Houseware Exhibition(hereinafter referred to as Beijing Gift&Home)was held at the China International Exhibition Center(Chaoyang Pavilion)in Beijing,China.As the annual grand finale of the northern gift industry.展开更多
In order to reduce the ecological environmental pollution and economic losses caused by oil spill accidents from cross-river oil pipelines,this paper studies the structures of oil containment booms used for intercepti...In order to reduce the ecological environmental pollution and economic losses caused by oil spill accidents from cross-river oil pipelines,this paper studies the structures of oil containment booms used for intercepting oil spills in rapid rivers and proposes a new type of double-layer hole oil containment boom.By establishing a solid mechanics model,the geometric deformation and stress-strain distribution patterns of the double-layer hole oil containment boom under rapid flow velocities were analyzed.Additionally,the impact of the skirt angle,hole size,and porosity on themechanical properties of the newoil containment boomstructure was investigated,and the optimization range of the boom structure was determined.The results showed that,compared to the traditional single-layer oil containment boom,the optimized new boom reduced maximum tensile deformation by 91.1%and the maximum equivalent stress by 45.3%.Theresearch findings provide an effective reference for the rational design of oil containment booms in rapid rivers to ensure the safety of energy transportation and protect the ecological environment.展开更多
[Objective] The aim of this study was to reveal the mechanism of Cu2+ hyper-accumulator in Setcreasea purpurea Boom from the angle of distribution characteristics and binding form of Cu2+ in tissue cells.[Method]The d...[Objective] The aim of this study was to reveal the mechanism of Cu2+ hyper-accumulator in Setcreasea purpurea Boom from the angle of distribution characteristics and binding form of Cu2+ in tissue cells.[Method]The distribution characteristics of Cu2+ in subcells of Setcreasea purpurea Boom was studied by the technique of differential centrifugation,and the binding form of Cu2+ in roots and leaves of Setcreasea purpurea Boom was also investigated by the sequential chemical extraction method and the enzymolysis method.[Result]Cu2+ in roots mainly distributed in the cell wall which is accounting for one third of the Total Cu2+ in roots,while Cu2+ in leaves mainly distributed in the chloroplast which is accounting for a quarter to the Total Cu2+ in leaves.Under the high concentration of Cu2+ or the extended treatment duration,the translocation of Cu2+ in root cells into the cell wall increased but the translocation of Cu2+ in root cells into the plastid decreased,while the translocation of Cu2+ in leaf cells into the chloroplast increased but the translocation of Cu2+ in leaf cells into the cell wall decreased.Cu2+ in leaves was mainly combined with amino acid,small molecular polymeric pigments,protein and polysaccharide,while Cu2+ in roots was mainly combined with cell wall substances such as cellulose and membrane-bound protein.[Conclusion]The distribution characteristics and binding form of Cu2+ in cells is possibly one of the dominant mechanisms for Cu2+ hyper-accumulator in Setcreasea purpurea Boom.展开更多
[Objective] This study was to investigate the expression of the specific protein in Setcreasea purpurea Boom under copper stress, with the aim to clarify the copper tolerance mechanism of S. purpurea. [Method] Methods...[Objective] This study was to investigate the expression of the specific protein in Setcreasea purpurea Boom under copper stress, with the aim to clarify the copper tolerance mechanism of S. purpurea. [Method] Methods of water culture, elec- trophoresis and chromatography were used to analyze the molecular weight of the specific protein in the copper hyperaccumulator S. purpurea, as well as its expression time and the minimum copper concentration for the expression. And the specific protein was isolated and purified. [Result] Under copper stress, the minimum concentra- tion of copper to induce the expression of the specific protein from S. purpurea was 50 umol/L, and the expression time of the protein was in the 4th week with the molecular weight of 89.4 kDa. [Conclusion] The results show that the copper tolerance of S. purpurea is closely related with the expression of the specific protein.展开更多
[Objective] The aim was to explore biological function of related genes in Setcreasea purpurea Boom under copper stress and to study the mechanism of its copper-resistance from standpoint of molecular biology in order...[Objective] The aim was to explore biological function of related genes in Setcreasea purpurea Boom under copper stress and to study the mechanism of its copper-resistance from standpoint of molecular biology in order to solve the problem of copper pollution. [Method] Setcreasea purpurea Boom was taken as experimental material which enjoys enrichment ability to cupric ion. About 90 fragments of differential expression were obtained by cDNA-AFLP and silver staining technique, among which, 17 fragments were amplified. After purification and identification, sequences of 6 differential fragments were got and used for BLAST X contrast. [Result] Six differential expressed fragments may play roles when Setcreasea purpurea Boom was under copper stress. The homology achieved 49% between differential sequences of E5MG-3 and of Arabidopsis thaliana mRNA （accession numbers： AAM62956.1）, homology was 53% between sequences of E4MB-2 and Solanum tuberosum mRNA （accession numbers： A5A717.1）, and 65% between sequences of E6MG-1 and Colocasia esculenta （L.） Schott mRNA （accession numbers： AAO62313.1）. It can be concluded that differential expressed genes are related to cell signaling, antioxidation, metabolism and protein modification. [Conclusion] The study has laid foundation for further exploration of regulatory network about response of Setcreasea purpurea Boom to copper stress.展开更多
基金the National Natttral Science Foundation of China(No.19802012)
文摘The cavitated bifurcation problem in a solid sphere composed oftwo compressible hyper-elas- tic materials is examined. Thebifurcation solution for the composed sphere under a uniform radialtensile boundary dead-load is obtained. The bifurcation curves andthe stress contributions subsequent to the cavita- tion are given.The right and left bifurcation as well as the catastrophe andconcentration of stresses are ana- lyzed. The stability of solutionsis discussed through an energy comparison.
文摘In this paper, the strain energy function proposed by Shang and Cheng was generalized by introducing a nonlinear term. Void formation and growth in the interior of a sphere composed of compressible hyper-elastic material, subjected to a prescribed uniform displacement, was examined. A parametric cavitated bifurcation solution for the radial deformed function was obtained. Stability of the solution of the cavitated bifurcation equation was discussed. With the appearance of a cavity, an interesting feature of the radial deformation near the deformed cavity wall is the transition from extension to compression.
基金the National Natural Science Foundation of China(Nos.10772104 and10402018)the Shanghai Leading Academic Discipline Project(No.Y0103)
文摘Dynamical responses, such as motion and destruction of hyper-elastic cylindrical shells subject to periodic or suddenly applied constant load on the inner surface, are studied within a framework of finite elasto-dynamics. By numerical computation and dynamic qualitative analysis of the nonlinear differential equation, it is shown that there exists a certain critical value for the internal load describing motion of the inner surface of the shell. Motion of the shell is nonlinear periodic or quasi-periodic oscillation when the average load of the periodic load or the constant load is less than its critical value. However, the shell will be destroyed when the load exceeds the critical value. Solution to the static equilibrium problem is a fixed point for the dynamical response of the corresponding system under a suddenly applied constant load. The property of fixed point is related to the property of the dynamical solution and motion of the shell. The effects of thickness and load parameters on the critical value and oscillation of the shell are discussed.
基金support from the Young Fund of Natural Science Foundation of Shaanxi Province,China(Nos.2020JQ-701 and 2020JQ-121)the Open Fund of State Key Laboratory of Applied Optics,China(No.SKLAO2020001A09).
文摘An efficient hyper-elastic model that can reflect the primary mechanical behaviors of Carbon-Kevlar hybrid woven reinforcement was developed and implemented with VUMAT constitutive code for preforming simulation.The model parameters were accurately determined through the uniaxial and bias-extension tests.To calibrate the simulation code,preforming experiments of hybrid woven reinforcement over the hemisphere mold and tetrahedron mold were respectively conducted to validate the proposed hyper-elastic model.The comparison between the simulations and experiments shows that the model can not only accurately capture shear angle distribution and geometry shape after deformation,but also accurately predict the force–displacement curve and potential fiber tensile failure during the preforming process.This result indicates that the proposed model can be used to predict the preforming behavior of Carbon-Kevlar hybrid woven reinforcement,and simulate its manufacturing process of complicated geometry.
基金supported by the National Natural Science Foundation of China(No.11972144)the Shanxi Province Specialized Research and Development Breakthrough in Key Core and Generic Technologies(Key Research and Development Program)(No.2020XXX017)the Fundamental Research Program of Shanxi Province of China(No.202203021211134)。
文摘The deformations and stresses of a rotating cylindrical hollow disk made of incompressible functionally-graded hyper-elastic material are theoretically analyzed based on the finite elasticity theory.The hyper-elastic material is described by a new micro-macro transition model.Specially,the material shear modulus and density are assumed to be a function with a power law form through the radial direction,while the material inhomogeneity is thus reflected on the power index m.The integral forms of the stretches and stress components are obtained.With the obtained complicated integral forms,the composite trapezoidal rule is utilized to derive the analytical solutions,and the explicit solutions for both the stretches and the stress components are numerically obtained.By comparing the results with two classic models,the superiority of the model in our work is demonstrated.Then,the distributions of the stretches and normalized stress components are discussed in detail under the effects of m.The results indicate that the material inhomogeneity and the rotating angular velocity have significant effects on the distributions of the normalized radial and hoop stress components and the stretches.We believe that by appropriately choosing the material inhomogeneity and configuration parameters,the functionally-graded material(FGM)hyper-elastic hollow cylindrical disk can be designed to meet some unique requirements in the application fields,e.g.,soft robotics,medical devices,and conventional aerospace and mechanical industries.
基金supported by the National Natural Science Foundation of China(No.10772104)the Shanghai Leading Academic Discipline Project(No.S30106)
文摘The problems on the non-uniqueness and stability of a two-family fiber- reinforced anisotropic incompressible hyper-elastic square sheet under equibiaxial tensile dead loading are examined within the framework of finite elasticity. For a two-family fiber-reinforced square sheet, which is in-plane symmetric and subjected to the in-plane symmetric tension in dead loading on the edges, three symmetrically deformed configu- rations and six asymmetrically deformed configurations are possible for any values of the loading. Moreover, another four bifurcated asymmetrically deformed configurations are possible for the loading beyond a certain criticM value. The stability of all the solutions is discussed in comparison with the energy of the sheet. It is shown that only one of the symmetric solutions is stable when the loading is less than the critical value. However, this symmetric solution will become unstable when the loading is larger than the critical value, while one of the four bifurcated asymmetric solutions will be stable.
文摘The dynamical formation of cavity in a hyper_elastic sphere composed of two materials with the incompressible strain energy function, subjected to a suddenly applied uniform radial tensile boundary dead_load, was studied following the theory of finite deformation dynamics. Besides a trivial solution corresponding to the homogeneous static state, a cavity forms at the center of the sphere when the tensile load is larger than its critical value. An exact differential relation between the cavity radius and the tensile land was obtained. It is proved that the evolution of cavity radius with time displays nonlinear periodic oscillations. The phase diagram for oscillation, the maximum amplitude, the approximate period and the critical load were all discussed.
基金supported by the National Natural Science Foundation of China (Nos. 10772104 and 10872045)the Innovation Project of Shanghai Municipal Education Commission (No. 09YZ12)the Shanghai Leading Academic Discipline Project (No. S30106)
文摘The growth of a prolate or oblate elliptic micro-void in a fiber reinforced anisotropic incompressible hyper-elastic rectangular thin plate subjected to uniaxial extensions is studied within the framework of finite elasticity. Coupling effects of void shape and void size on the growth of the void are paid special attention to. The deformation function of the plate with an isolated elliptic void is given, which is expressed by two parameters to solve the differential equation. The solution is approximately obtained from the minimum potential energy principle. Deformation curves for the void with a wide range of void aspect ratios and the stress distributions on the surface of the void have been obtained by numerical computation. The growth behavior of the void and the characteristics of stress distributions on the surface of the void are captured. The combined effects of void size and void shape on the growth of the void in the thin plate are discussed. The maximum stresses for the void with different sizes and different void aspect ratios are compared.
文摘From August 14 to 16,the 52nd China Beijing International Gifts,Premium&Houseware Exhibition(hereinafter referred to as Beijing Gift&Home)was held at the China International Exhibition Center(Chaoyang Pavilion)in Beijing,China.As the annual grand finale of the northern gift industry.
文摘In order to reduce the ecological environmental pollution and economic losses caused by oil spill accidents from cross-river oil pipelines,this paper studies the structures of oil containment booms used for intercepting oil spills in rapid rivers and proposes a new type of double-layer hole oil containment boom.By establishing a solid mechanics model,the geometric deformation and stress-strain distribution patterns of the double-layer hole oil containment boom under rapid flow velocities were analyzed.Additionally,the impact of the skirt angle,hole size,and porosity on themechanical properties of the newoil containment boomstructure was investigated,and the optimization range of the boom structure was determined.The results showed that,compared to the traditional single-layer oil containment boom,the optimized new boom reduced maximum tensile deformation by 91.1%and the maximum equivalent stress by 45.3%.Theresearch findings provide an effective reference for the rational design of oil containment booms in rapid rivers to ensure the safety of energy transportation and protect the ecological environment.
基金Supported by the National Natural Science Foundation(30760021)Natural Science Foundation of Jiangxi Province(0530016)Project of the Education Department of Jiangxi Province(Jiangxi Education&Tech-nology No.[2007]151)~~
文摘[Objective] The aim of this study was to reveal the mechanism of Cu2+ hyper-accumulator in Setcreasea purpurea Boom from the angle of distribution characteristics and binding form of Cu2+ in tissue cells.[Method]The distribution characteristics of Cu2+ in subcells of Setcreasea purpurea Boom was studied by the technique of differential centrifugation,and the binding form of Cu2+ in roots and leaves of Setcreasea purpurea Boom was also investigated by the sequential chemical extraction method and the enzymolysis method.[Result]Cu2+ in roots mainly distributed in the cell wall which is accounting for one third of the Total Cu2+ in roots,while Cu2+ in leaves mainly distributed in the chloroplast which is accounting for a quarter to the Total Cu2+ in leaves.Under the high concentration of Cu2+ or the extended treatment duration,the translocation of Cu2+ in root cells into the cell wall increased but the translocation of Cu2+ in root cells into the plastid decreased,while the translocation of Cu2+ in leaf cells into the chloroplast increased but the translocation of Cu2+ in leaf cells into the cell wall decreased.Cu2+ in leaves was mainly combined with amino acid,small molecular polymeric pigments,protein and polysaccharide,while Cu2+ in roots was mainly combined with cell wall substances such as cellulose and membrane-bound protein.[Conclusion]The distribution characteristics and binding form of Cu2+ in cells is possibly one of the dominant mechanisms for Cu2+ hyper-accumulator in Setcreasea purpurea Boom.
基金Supported by the National Natural Science Foundation of China (30760021)the Natural Science Foundation of Jiangxi Province,China (0530016)the Program of Education Bureau of Jiangxi Province,China (ganjiaojizi[2007]No.151)~~
文摘[Objective] This study was to investigate the expression of the specific protein in Setcreasea purpurea Boom under copper stress, with the aim to clarify the copper tolerance mechanism of S. purpurea. [Method] Methods of water culture, elec- trophoresis and chromatography were used to analyze the molecular weight of the specific protein in the copper hyperaccumulator S. purpurea, as well as its expression time and the minimum copper concentration for the expression. And the specific protein was isolated and purified. [Result] Under copper stress, the minimum concentra- tion of copper to induce the expression of the specific protein from S. purpurea was 50 umol/L, and the expression time of the protein was in the 4th week with the molecular weight of 89.4 kDa. [Conclusion] The results show that the copper tolerance of S. purpurea is closely related with the expression of the specific protein.
基金Supported by National Natural Science Foundation of China(30760021)Natural Science Foundation of Jiangxi Province(0530016)Project from Education Bureau of Jiangxi Province([2007]151)~~
文摘[Objective] The aim was to explore biological function of related genes in Setcreasea purpurea Boom under copper stress and to study the mechanism of its copper-resistance from standpoint of molecular biology in order to solve the problem of copper pollution. [Method] Setcreasea purpurea Boom was taken as experimental material which enjoys enrichment ability to cupric ion. About 90 fragments of differential expression were obtained by cDNA-AFLP and silver staining technique, among which, 17 fragments were amplified. After purification and identification, sequences of 6 differential fragments were got and used for BLAST X contrast. [Result] Six differential expressed fragments may play roles when Setcreasea purpurea Boom was under copper stress. The homology achieved 49% between differential sequences of E5MG-3 and of Arabidopsis thaliana mRNA （accession numbers： AAM62956.1）, homology was 53% between sequences of E4MB-2 and Solanum tuberosum mRNA （accession numbers： A5A717.1）, and 65% between sequences of E6MG-1 and Colocasia esculenta （L.） Schott mRNA （accession numbers： AAO62313.1）. It can be concluded that differential expressed genes are related to cell signaling, antioxidation, metabolism and protein modification. [Conclusion] The study has laid foundation for further exploration of regulatory network about response of Setcreasea purpurea Boom to copper stress.
