The elliptic integral method(EIM) is an efficient analytical approach for analyzing large deformations of elastic beams. However, it faces the following challenges.First, the existing EIM can only handle cases with kn...The elliptic integral method(EIM) is an efficient analytical approach for analyzing large deformations of elastic beams. However, it faces the following challenges.First, the existing EIM can only handle cases with known deformation modes. Second,the existing EIM is only applicable to Euler beams, and there is no EIM available for higher-precision Timoshenko and Reissner beams in cases where both force and moment are applied at the end. This paper proposes a general EIM for Reissner beams under arbitrary boundary conditions. On this basis, an analytical equation for determining the sign of the elliptic integral is provided. Based on the equation, we discover a class of elliptic integral piecewise points that are distinct from inflection points. More importantly, we propose an algorithm that automatically calculates the number of inflection points and other piecewise points during the nonlinear solution process, which is crucial for beams with unknown or changing deformation modes.展开更多
Bistable beams,with their characteristic recoverable elastic large deformations,are widely utilized in reversible deformation designs.However,analytical modeling of bistable beams under third-order mode deformation re...Bistable beams,with their characteristic recoverable elastic large deformations,are widely utilized in reversible deformation designs.However,analytical modeling of bistable beams under third-order mode deformation remains a challenge.For example,theoretical research on bistable beams in existing energy-consuming materials has focused mainly on the deformation process of the second-order mode.To address this challenge,the present work establishes an analytical model for the deformation process of a bistable beam from the first-order mode to the third-order mode via the elliptic integral method.Additionally,judgment conditions for identifying the critical points of modal transitions are provided.Second,the analytical model allows for the calculation of the maximum instability force and the unstable equilibrium position when third-order mode deformation occurs in the bistable beam during the snap-through process.The unstable equilibrium position of the bistable beam during third-order mode deformation is significantly lower than the positions of the two fixed ends.The validity of the analytical model was confirmed through experiments and finite element modeling.In the compression experiments of bistable beams with identical dimensional parameters presented in the present work,the work done by the external force during the third-order mode deformation process is 2 times that of the second-order mode deformation process.This will provide a completely new approach for the design of energy-consuming materials based on bistable beams.展开更多
Bone is a common organ affected by metastasis in various advanced cancers,including lung,breast,prostate,colorectal,and melanoma.Once a patient is diagnosed with bone metastasis,the patient’s quality of life and over...Bone is a common organ affected by metastasis in various advanced cancers,including lung,breast,prostate,colorectal,and melanoma.Once a patient is diagnosed with bone metastasis,the patient’s quality of life and overall survival are significantly reduced owing to a wide range ofmorbidities and the increasing difficulty of treatment.Many studies have shown that bone metastasis is closely related to bone microenvironment,especially bone immune microenvironment.However,the effects of various immune cells in the bone microenvironment on bone metastasis remain unclear.Here,we described the changes in various immune cells during bone metastasis and discussed their related mechanisms.Osteoblasts,adipocytes,and other non-immune cells closely related to bone metastasis were also included.This review also summarized the existing treatment methods and potential therapeutic targets,and provided insights for future studies of cancer bone metastasis.展开更多
基金supported by the National Natural Science Foundation of China (Nos. 12172388 and 12472400)the Guangdong Basic and Applied Basic Research Foundation of China(No. 2025A1515011975)the Scientific Research Project of Guangdong Polytechnic Normal University of China (No. 2023SDKYA010)
文摘The elliptic integral method(EIM) is an efficient analytical approach for analyzing large deformations of elastic beams. However, it faces the following challenges.First, the existing EIM can only handle cases with known deformation modes. Second,the existing EIM is only applicable to Euler beams, and there is no EIM available for higher-precision Timoshenko and Reissner beams in cases where both force and moment are applied at the end. This paper proposes a general EIM for Reissner beams under arbitrary boundary conditions. On this basis, an analytical equation for determining the sign of the elliptic integral is provided. Based on the equation, we discover a class of elliptic integral piecewise points that are distinct from inflection points. More importantly, we propose an algorithm that automatically calculates the number of inflection points and other piecewise points during the nonlinear solution process, which is crucial for beams with unknown or changing deformation modes.
基金supported by the Guangdong Province Basic and Applied Basic Research Fund(Grant No.2025A1515011975)the research project of Guangdong University of Technology(Grant No.2023SDKYA010)for their funding.
文摘Bistable beams,with their characteristic recoverable elastic large deformations,are widely utilized in reversible deformation designs.However,analytical modeling of bistable beams under third-order mode deformation remains a challenge.For example,theoretical research on bistable beams in existing energy-consuming materials has focused mainly on the deformation process of the second-order mode.To address this challenge,the present work establishes an analytical model for the deformation process of a bistable beam from the first-order mode to the third-order mode via the elliptic integral method.Additionally,judgment conditions for identifying the critical points of modal transitions are provided.Second,the analytical model allows for the calculation of the maximum instability force and the unstable equilibrium position when third-order mode deformation occurs in the bistable beam during the snap-through process.The unstable equilibrium position of the bistable beam during third-order mode deformation is significantly lower than the positions of the two fixed ends.The validity of the analytical model was confirmed through experiments and finite element modeling.In the compression experiments of bistable beams with identical dimensional parameters presented in the present work,the work done by the external force during the third-order mode deformation process is 2 times that of the second-order mode deformation process.This will provide a completely new approach for the design of energy-consuming materials based on bistable beams.
基金National Natural Science Foundation of China,Grant/Award Numbers:82173089,82073332,82073142Natural Science Foundation of Zhejiang Province,Grant/Award Numbers:LY21H100004,LY19H160050+1 种基金Medical Science and Technology Project of Zhejiang Province,Grant/Award Number:2021RC063Chinese Society of Clinical Oncology,Grant/Award Numbers:Y-2020Sciclone/ms-0099,Y-2019Sciclone-019。
文摘Bone is a common organ affected by metastasis in various advanced cancers,including lung,breast,prostate,colorectal,and melanoma.Once a patient is diagnosed with bone metastasis,the patient’s quality of life and overall survival are significantly reduced owing to a wide range ofmorbidities and the increasing difficulty of treatment.Many studies have shown that bone metastasis is closely related to bone microenvironment,especially bone immune microenvironment.However,the effects of various immune cells in the bone microenvironment on bone metastasis remain unclear.Here,we described the changes in various immune cells during bone metastasis and discussed their related mechanisms.Osteoblasts,adipocytes,and other non-immune cells closely related to bone metastasis were also included.This review also summarized the existing treatment methods and potential therapeutic targets,and provided insights for future studies of cancer bone metastasis.
基金supported by the National Key R&D Program of China(2019YFA0906003)the National Natural Science Foundation of China(32000989)+5 种基金China Postdoctoral Science Foundation Grant(2020M682911 and 2020M670051ZX)Guangdong Special Support Program(2021JC06Y578)the Shenzhen Municipal Government of China(JCYJ20200109120016553,CJGJZD20200617102403009,and RCBS20210706092256081)the Sanming Project of Shenzhen Health and Family Planning Commission(SZSM202011017)Shenzhen Institute of Synthetic Biology Scientific Research Program(ZTXM20214005)the Shenzhen High-level Hospital Construction Fund。
