Experimental tests are essential for evaluating S-N curves and assessing the fatigue life of welded joints.However,in the case of complex geometries,experimental tests often cannot provide the necessary stress-strain ...Experimental tests are essential for evaluating S-N curves and assessing the fatigue life of welded joints.However,in the case of complex geometries,experimental tests often cannot provide the necessary stress-strain data for specific materials and welded joints.Therefore,finite element(FE)analyses are frequently utilized to assess fatigue behavior in complex geometries and address the discontinuities induced by welding processes.In this study,the fatigue properties of titanium welded joints,produced using an innovative laser source and welded without the use of filler materials,were analyzed through numerical methods.Two different FEmethodswere applied to T-specimens fabricated from Ti6Al4V sheets:the hot-spot stress and notch-stress approach.The FE fatigue life predictions were validated using experimental fatigue test results.The Hot-Spot Stress method yielded a fatigue limit slightly below 100 MPa,demonstrating a consistent slope in the S-N response.Conversely,the Notch Stress method,using a 1 mm fictitious notch radius,indicated a higher fatigue strength corresponding to a range between 225 and 250MPa,providing amore conservative and localized fatigue estimate.Fatigue resistance in welded joints of steel and aluminum is commonly assessed using specific fatigue classes called“Fatigue Strength Classes(FAT)curves”and their associated S-N curves as recommended by the International Institute of Welding(IIW).However,no such FAT class assignments currently exist for titanium alloys.To address this gap,strain-based FAT curves were proposed by normalizing steel FAT curves using titanium’s elastic properties.This strain-based framework enables direct comparison across materials and provides a foundation for fatigue evaluation of titanium weldments.The author proposed a procedure to normalize steel FAT curves considering the different elastic material properties,enabling a comparison with Ti6Al4V data in terms of hot spot strain or notch strain.This approach facilitates the development of a universal framework for strain-based fatigue evaluation across different materials.展开更多
The new technology of welding with impacting rotation is put forward to decrease the wave-like deformation of the TC4 thin plate weldment. The thermal stress and strain are vital to understand the mechanism of control...The new technology of welding with impacting rotation is put forward to decrease the wave-like deformation of the TC4 thin plate weldment. The thermal stress and strain are vital to understand the mechanism of controlling the wave-like deformation. In order to know the development of internal thermal stress and strain, finite element method is utilized for- the stress and strain are difficult to be investigated by experimental methods during the welding process. Temperature field, thermal stress evolution and distortion of thin plate are compared with the test results such as weld thermal cycle, residual stress sectioning measurement, and the deflection of the thin plate respectively. By the finite element analysis and test results verification, the meehaaism of the technology to control the wave-like deformation is brought forward, non-uniform thermal elastic strain between compressive plastic region and elastic extensive region is diminished by a certain amount of extensive plastic deformation by welding with impacting rotation process.展开更多
The temperature and stress profiles of porous cubic Ti-6Al-4V titanium alloy grids by additive manufacturing via electron beam melting(EBM)based on finite element(FE)method were investigated.Three-dimensional FE model...The temperature and stress profiles of porous cubic Ti-6Al-4V titanium alloy grids by additive manufacturing via electron beam melting(EBM)based on finite element(FE)method were investigated.Three-dimensional FE models were developed to simulate the single-layer and five-layer girds under annular and lateral scanning.The results showed that the molten pool temperature in five-layer girds was higher than that in single-layer grids owing to the larger mass and higher heat capacity.More energies accumulated by the longer scanning time for annular path than lateral path led to the higher temperature and steeper temperature gradient.The thermal stress drastically fluctuated during EBM process and the residual stress decreased with the increase of powder layer where the largest stress appeared at the first layer along the build direction.The stress under lateral scanning was slightly larger but relatively more homogeneous distribution than those under annular scanning.The stress distribution showed anisotropy and the maximum Von Mises stress occurred around the central node.The stress profiles were explained by the temperature fields and grids structure.展开更多
In this work,a three-dimensional nonlinear transient thermo-mechanically coupled finite element model(FEM)is established to investigate the variation in temperature and stress fields during electron beam melting(EBM)o...In this work,a three-dimensional nonlinear transient thermo-mechanically coupled finite element model(FEM)is established to investigate the variation in temperature and stress fields during electron beam melting(EBM)of rhombic dodecahedron Ti-6Al-4V alloy.The influence of the processing parameters on the temperature and residual stress evolutions was predicted and verified against existing literature data.The calculated results indicate that the interlayer cooling time has very little effect on both the temperature and stress evolutions,indicating that the interlayer cooling time can be set up as short as possible to reduce manufacturing time.It is presented that the residual stress of the intersection is higher than that of non-intersection.With increasing preheating temperature,the residual stress decreases continuously,which is about 20%–30%for every 50℃rise in temperature.The temperature and stress fields repeated every four layers with the complex periodic scanning strategy.Both x and y-component residual stresses are tensile stresses,while z-component stress is weak compressive or tensile stress in typical paths.It is proposed that the interlayer cooling is necessary to obtain a rhombic dodecahedron with low residual stress.These results can bring insights into the understanding of the residual stress during EBM.展开更多
A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpola...A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.展开更多
The goal of this paper is to show that there are infinitely many number fields K/Q, for which there is no inert prime p ∈ N*, i.e. ∀p ∈ N* a prime number, prime ideal of K such that where: Zk</sub> i...The goal of this paper is to show that there are infinitely many number fields K/Q, for which there is no inert prime p ∈ N*, i.e. ∀p ∈ N* a prime number, prime ideal of K such that where: Zk</sub> is the Dedekind domain of the integer elements of K. To prove such a result, consider for any prime p, the decomposition into a product of prime ideals of Zk</sub>, of the ideal . From this point, we use on the one hand: 1) The well- known property that says: If , then the ideal pZ<sub>k</sub> decomposes into a product of prime ideals of Zk</sub> as following: . (where:;is the irreducible polynomial of θ, and, is its reduction modulo p, which leads to a product of irreducible polynomials in Fp[X]). It is clear that because if is reducible in Fp[X], then consequently p is not inert. Now, we prove the existence of such p, by proving explicit such p as follows. So we use on the other hand: 2) this property that we prove, and which is: If , is an irreducible normalized integer polynomial, whose splitting field is , then for any prime number p ∈ N: is always a reducible polynomial. 3) Consequently, and this closes our proof: let’s consider the set (whose cardinality is infinite) of monogenic biquadratic number fields: . Then each f<sub>θ</sub>(X) checks the above properties, this means that for family M, all its fields, do not admit any inert prime numbers p ∈ N. 2020-Mathematics Subject Classification (MSC2020) 11A41 - 11A51 - 11D25 - 11R04 - 11R09 - 11R11 - 11R16 - 11R32 - 11T06 - 12E05 - 12F05 -12F10 -13A05-13A15 - 13B02 - 13B05 - 13B10 - 13B25 -13F05展开更多
陶瓷在长时高温和高应力下工作时会发生蠕变,蠕变损伤累积将最终导致失效发生。蠕变损伤的演化与陶瓷的微结构有十分密切的关系,建立陶瓷材料的微观有限元模型有助于更深入地了解这一关系。以氮化硅陶瓷为研究对象,提出一种基于动力学...陶瓷在长时高温和高应力下工作时会发生蠕变,蠕变损伤累积将最终导致失效发生。蠕变损伤的演化与陶瓷的微结构有十分密切的关系,建立陶瓷材料的微观有限元模型有助于更深入地了解这一关系。以氮化硅陶瓷为研究对象,提出一种基于动力学的三维晶体沉积数值模型,结合Monte Carlo Potts结晶生长模型对氮化硅陶瓷的烧结过程进行模拟,力求还原氮化硅陶瓷的动态生长过程以及结晶后晶体大小、形状、取向分布以及空洞的大小、形状、分布等微观结构特征。基于该模拟生成的几何边界描述自动生成Python脚本,在有限元软件中完成建模。利用该有限元模型对氮化硅陶瓷的统计弹性常数进行验证,计算结果与试验数据对比,相对误差约为4.5%,吻合良好。展开更多
Liquid crystal elastomers(LCEs)exhibit exceptional reversible deformation and unique physical properties owing to their order-disorder phase transition under external stimuli.Among these deformations,helical structure...Liquid crystal elastomers(LCEs)exhibit exceptional reversible deformation and unique physical properties owing to their order-disorder phase transition under external stimuli.Among these deformations,helical structures have attracted attention owing to their distinctive configurations and promising applications in biomimetics and microelectronics.However,the helical deformation behavior of fiber actuators is critically influenced by their morphologies and alignments;yet,the underlying mechanisms are not fully understood.Through a two-step azaMichael addition reaction and direct ink writing(DIW)4D printing technology,fiber-based LCE actuators with a core-sheath alignment structure were fabricated and exhibited reversible helical deformation upon heating.By adjusting the printing parameters,the filament number,width,thickness,and core-sheath structure of the fiber actuators can be precisely controlled,resulting in deformation behaviors,such as contraction,bending,and helical twisting.Finite element simulations were performed to investigate the deformation behaviors of the fiber actuators,providing insights into the variations in stress and strain during the shape-changing process,which can be used to explain the shape-morphing mechanism.These findings demonstrate that the precise tuning of printing parameters enables the controllable construction of LCE actuator morphology and customization of their functional properties,paving the way for advanced applications in smart fabrics,biomedical engineering,and flexible electronics.展开更多
基金supported by the project PRIN_2022PNRR_P2022Y3PBY_001“MADLEINE,CUP:J53D23015830001”.Project funded under the National Recovery and Resilience Plan(NRRP),Mission 4 Component C2 Investment 1.1 by the European Union-NextGenerationEU.
文摘Experimental tests are essential for evaluating S-N curves and assessing the fatigue life of welded joints.However,in the case of complex geometries,experimental tests often cannot provide the necessary stress-strain data for specific materials and welded joints.Therefore,finite element(FE)analyses are frequently utilized to assess fatigue behavior in complex geometries and address the discontinuities induced by welding processes.In this study,the fatigue properties of titanium welded joints,produced using an innovative laser source and welded without the use of filler materials,were analyzed through numerical methods.Two different FEmethodswere applied to T-specimens fabricated from Ti6Al4V sheets:the hot-spot stress and notch-stress approach.The FE fatigue life predictions were validated using experimental fatigue test results.The Hot-Spot Stress method yielded a fatigue limit slightly below 100 MPa,demonstrating a consistent slope in the S-N response.Conversely,the Notch Stress method,using a 1 mm fictitious notch radius,indicated a higher fatigue strength corresponding to a range between 225 and 250MPa,providing amore conservative and localized fatigue estimate.Fatigue resistance in welded joints of steel and aluminum is commonly assessed using specific fatigue classes called“Fatigue Strength Classes(FAT)curves”and their associated S-N curves as recommended by the International Institute of Welding(IIW).However,no such FAT class assignments currently exist for titanium alloys.To address this gap,strain-based FAT curves were proposed by normalizing steel FAT curves using titanium’s elastic properties.This strain-based framework enables direct comparison across materials and provides a foundation for fatigue evaluation of titanium weldments.The author proposed a procedure to normalize steel FAT curves considering the different elastic material properties,enabling a comparison with Ti6Al4V data in terms of hot spot strain or notch strain.This approach facilitates the development of a universal framework for strain-based fatigue evaluation across different materials.
文摘The new technology of welding with impacting rotation is put forward to decrease the wave-like deformation of the TC4 thin plate weldment. The thermal stress and strain are vital to understand the mechanism of controlling the wave-like deformation. In order to know the development of internal thermal stress and strain, finite element method is utilized for- the stress and strain are difficult to be investigated by experimental methods during the welding process. Temperature field, thermal stress evolution and distortion of thin plate are compared with the test results such as weld thermal cycle, residual stress sectioning measurement, and the deflection of the thin plate respectively. By the finite element analysis and test results verification, the meehaaism of the technology to control the wave-like deformation is brought forward, non-uniform thermal elastic strain between compressive plastic region and elastic extensive region is diminished by a certain amount of extensive plastic deformation by welding with impacting rotation process.
基金The work was financially supported by the Natural Science Foundation of Shandong Province,China(No.ZR2019MEM012)the Major Scientific and Technological Innovation Program of Shandong Province,China(No.2019JZZY010325)+1 种基金the Key Research Program of Frontier Sciences,CAS(No.QYZDJ-SSW-JSC031-02)the National Natural Science Foundation of China(No.51871220).
文摘The temperature and stress profiles of porous cubic Ti-6Al-4V titanium alloy grids by additive manufacturing via electron beam melting(EBM)based on finite element(FE)method were investigated.Three-dimensional FE models were developed to simulate the single-layer and five-layer girds under annular and lateral scanning.The results showed that the molten pool temperature in five-layer girds was higher than that in single-layer grids owing to the larger mass and higher heat capacity.More energies accumulated by the longer scanning time for annular path than lateral path led to the higher temperature and steeper temperature gradient.The thermal stress drastically fluctuated during EBM process and the residual stress decreased with the increase of powder layer where the largest stress appeared at the first layer along the build direction.The stress under lateral scanning was slightly larger but relatively more homogeneous distribution than those under annular scanning.The stress distribution showed anisotropy and the maximum Von Mises stress occurred around the central node.The stress profiles were explained by the temperature fields and grids structure.
基金supported by the Natural Science Foundation of Shandong Province,China(No.ZR2019MEM012).
文摘In this work,a three-dimensional nonlinear transient thermo-mechanically coupled finite element model(FEM)is established to investigate the variation in temperature and stress fields during electron beam melting(EBM)of rhombic dodecahedron Ti-6Al-4V alloy.The influence of the processing parameters on the temperature and residual stress evolutions was predicted and verified against existing literature data.The calculated results indicate that the interlayer cooling time has very little effect on both the temperature and stress evolutions,indicating that the interlayer cooling time can be set up as short as possible to reduce manufacturing time.It is presented that the residual stress of the intersection is higher than that of non-intersection.With increasing preheating temperature,the residual stress decreases continuously,which is about 20%–30%for every 50℃rise in temperature.The temperature and stress fields repeated every four layers with the complex periodic scanning strategy.Both x and y-component residual stresses are tensile stresses,while z-component stress is weak compressive or tensile stress in typical paths.It is proposed that the interlayer cooling is necessary to obtain a rhombic dodecahedron with low residual stress.These results can bring insights into the understanding of the residual stress during EBM.
文摘A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.
文摘The goal of this paper is to show that there are infinitely many number fields K/Q, for which there is no inert prime p ∈ N*, i.e. ∀p ∈ N* a prime number, prime ideal of K such that where: Zk</sub> is the Dedekind domain of the integer elements of K. To prove such a result, consider for any prime p, the decomposition into a product of prime ideals of Zk</sub>, of the ideal . From this point, we use on the one hand: 1) The well- known property that says: If , then the ideal pZ<sub>k</sub> decomposes into a product of prime ideals of Zk</sub> as following: . (where:;is the irreducible polynomial of θ, and, is its reduction modulo p, which leads to a product of irreducible polynomials in Fp[X]). It is clear that because if is reducible in Fp[X], then consequently p is not inert. Now, we prove the existence of such p, by proving explicit such p as follows. So we use on the other hand: 2) this property that we prove, and which is: If , is an irreducible normalized integer polynomial, whose splitting field is , then for any prime number p ∈ N: is always a reducible polynomial. 3) Consequently, and this closes our proof: let’s consider the set (whose cardinality is infinite) of monogenic biquadratic number fields: . Then each f<sub>θ</sub>(X) checks the above properties, this means that for family M, all its fields, do not admit any inert prime numbers p ∈ N. 2020-Mathematics Subject Classification (MSC2020) 11A41 - 11A51 - 11D25 - 11R04 - 11R09 - 11R11 - 11R16 - 11R32 - 11T06 - 12E05 - 12F05 -12F10 -13A05-13A15 - 13B02 - 13B05 - 13B10 - 13B25 -13F05
文摘陶瓷在长时高温和高应力下工作时会发生蠕变,蠕变损伤累积将最终导致失效发生。蠕变损伤的演化与陶瓷的微结构有十分密切的关系,建立陶瓷材料的微观有限元模型有助于更深入地了解这一关系。以氮化硅陶瓷为研究对象,提出一种基于动力学的三维晶体沉积数值模型,结合Monte Carlo Potts结晶生长模型对氮化硅陶瓷的烧结过程进行模拟,力求还原氮化硅陶瓷的动态生长过程以及结晶后晶体大小、形状、取向分布以及空洞的大小、形状、分布等微观结构特征。基于该模拟生成的几何边界描述自动生成Python脚本,在有限元软件中完成建模。利用该有限元模型对氮化硅陶瓷的统计弹性常数进行验证,计算结果与试验数据对比,相对误差约为4.5%,吻合良好。
基金financially supported by the National Natural Science Foundation of China(Nos.52103145 and 11832007)Science&Technology Department of Sichuan Province(No.2025ZNSFSC0352)State Key Laboratory of Polymer Materials Engineering(No.sklpme-2024-1-03)。
文摘Liquid crystal elastomers(LCEs)exhibit exceptional reversible deformation and unique physical properties owing to their order-disorder phase transition under external stimuli.Among these deformations,helical structures have attracted attention owing to their distinctive configurations and promising applications in biomimetics and microelectronics.However,the helical deformation behavior of fiber actuators is critically influenced by their morphologies and alignments;yet,the underlying mechanisms are not fully understood.Through a two-step azaMichael addition reaction and direct ink writing(DIW)4D printing technology,fiber-based LCE actuators with a core-sheath alignment structure were fabricated and exhibited reversible helical deformation upon heating.By adjusting the printing parameters,the filament number,width,thickness,and core-sheath structure of the fiber actuators can be precisely controlled,resulting in deformation behaviors,such as contraction,bending,and helical twisting.Finite element simulations were performed to investigate the deformation behaviors of the fiber actuators,providing insights into the variations in stress and strain during the shape-changing process,which can be used to explain the shape-morphing mechanism.These findings demonstrate that the precise tuning of printing parameters enables the controllable construction of LCE actuator morphology and customization of their functional properties,paving the way for advanced applications in smart fabrics,biomedical engineering,and flexible electronics.
