1会议概况2018年6月5—9日，第18届美国理论与应用力学大会(18th U.S.National Congress of Theoretical and Applied Mechanics,USNCTAM2018)在美国芝加哥召开.本次大会由美国力学国家委员会和中国力学学会联合主办，旨在探讨和交流近...1会议概况2018年6月5—9日，第18届美国理论与应用力学大会(18th U.S.National Congress of Theoretical and Applied Mechanics,USNCTAM2018)在美国芝加哥召开.本次大会由美国力学国家委员会和中国力学学会联合主办，旨在探讨和交流近四年世界范围内在理论和应用力学领域的基础研究、创新技术的最新进展，吸引了来自世界各地的近千名专家学者参会，其中近300人来自中国.本次会议分为固体力学、流体力学、计算力学、生物力学和动力学与控制五大专题，并增设了博士与博士后职业发展研讨会和女性研究人员社交活动.大会由美国塔夫斯大学曲建民教授、美国西北大学Wing Kam Liu教授、浙江大学杨卫院士(中国力学学会理事长)和北京理工大学方岱宁院士(中国力学学会副理事长)担任共同主席.本次大会展现了中国科学研究在力学领域的雄厚力量，多数学者报告了近两年在国际前沿方向的研究成果.展开更多
Exact solutions for generally supported functionally graded plane beams are given within the framework of symplectic elasticity. The Young＇s modulus is assumed to exponentially vary along the longitudinal direction w...Exact solutions for generally supported functionally graded plane beams are given within the framework of symplectic elasticity. The Young＇s modulus is assumed to exponentially vary along the longitudinal direction while the Poisson＇s ratio remains con- stant. The state equation with a shift-Hamiltonian operator matrix has been established in the previous work, which is limited to the Saint-Venant solution. Here, a complete rational analysis of the displacement and stress distributions in the beam is presented by exploring the eigensolutions that are usually covered up by the Saint-Venant prin- ciple. These solutions play a significant role in the local behavior of materials that is usually ignored in the conventional elasticity methods but possibly crucial to the mate- rial/structure failures. The analysis makes full use of the symplectic orthogonality of the eigensolutions. Two illustrative examples are presented to compare the displacement and stress results with those for homogenous materials, demonstrating the effects of material inhomogeneity.展开更多
In order to comprehensively understand the mechanical behavior of biological entities and aerospace applications subjected to hypergravity environments,we delve into the impact of hypergravity on the equivalent compli...In order to comprehensively understand the mechanical behavior of biological entities and aerospace applications subjected to hypergravity environments,we delve into the impact of hypergravity on the equivalent compliance of cubic lattice structures.Capitalizing on the periodic spatial distribution,we employ a unit cell methodology to deduce the homogenized stress-strain relationship for the lattice structures,subsequently obtaining the associated equivalent compliance.The equivalent compliance can be conveniently reduced to instances without hypergravity influence.Furthermore,numerical simulations are executed to validate the derivations and to illustrate that hypergravity indeed affects the mechanical properties of lattice structures.We introduce a non-dimensional hypergravity factor,which quantifies the impact of hypergravity magnitude relative to the Young’s modulus of the base material.Our findings reveal that the hypergravity factor influences perpendicular compliance quadratically and parallel compliance linearly.Simultaneously,the perpendicular shear compliance remains unaffected,whereas the parallel shear compliance experiences an inverse effect.Additionally,the lattice structure transforms into a gradient material oriented in the hypergravity direction,consequently generating a scale effect.展开更多
文摘1会议概况2018年6月5—9日，第18届美国理论与应用力学大会(18th U.S.National Congress of Theoretical and Applied Mechanics,USNCTAM2018)在美国芝加哥召开.本次大会由美国力学国家委员会和中国力学学会联合主办，旨在探讨和交流近四年世界范围内在理论和应用力学领域的基础研究、创新技术的最新进展，吸引了来自世界各地的近千名专家学者参会，其中近300人来自中国.本次会议分为固体力学、流体力学、计算力学、生物力学和动力学与控制五大专题，并增设了博士与博士后职业发展研讨会和女性研究人员社交活动.大会由美国塔夫斯大学曲建民教授、美国西北大学Wing Kam Liu教授、浙江大学杨卫院士(中国力学学会理事长)和北京理工大学方岱宁院士(中国力学学会副理事长)担任共同主席.本次大会展现了中国科学研究在力学领域的雄厚力量，多数学者报告了近两年在国际前沿方向的研究成果.
基金supported by the National Natural Science Foundation of China (Nos. 11090333 and10972193)the Natural Science Foundation of Ningbo City of China (No. 2011A610077)
文摘Exact solutions for generally supported functionally graded plane beams are given within the framework of symplectic elasticity. The Young＇s modulus is assumed to exponentially vary along the longitudinal direction while the Poisson＇s ratio remains con- stant. The state equation with a shift-Hamiltonian operator matrix has been established in the previous work, which is limited to the Saint-Venant solution. Here, a complete rational analysis of the displacement and stress distributions in the beam is presented by exploring the eigensolutions that are usually covered up by the Saint-Venant prin- ciple. These solutions play a significant role in the local behavior of materials that is usually ignored in the conventional elasticity methods but possibly crucial to the mate- rial/structure failures. The analysis makes full use of the symplectic orthogonality of the eigensolutions. Two illustrative examples are presented to compare the displacement and stress results with those for homogenous materials, demonstrating the effects of material inhomogeneity.
基金supported by the National Natural Science Foundation of China(Grant Nos.11925206,51988101,and 12272340)Zhejiang Provincial Natural Science Foundation of China(Grant No.LD21A020002).
文摘In order to comprehensively understand the mechanical behavior of biological entities and aerospace applications subjected to hypergravity environments,we delve into the impact of hypergravity on the equivalent compliance of cubic lattice structures.Capitalizing on the periodic spatial distribution,we employ a unit cell methodology to deduce the homogenized stress-strain relationship for the lattice structures,subsequently obtaining the associated equivalent compliance.The equivalent compliance can be conveniently reduced to instances without hypergravity influence.Furthermore,numerical simulations are executed to validate the derivations and to illustrate that hypergravity indeed affects the mechanical properties of lattice structures.We introduce a non-dimensional hypergravity factor,which quantifies the impact of hypergravity magnitude relative to the Young’s modulus of the base material.Our findings reveal that the hypergravity factor influences perpendicular compliance quadratically and parallel compliance linearly.Simultaneously,the perpendicular shear compliance remains unaffected,whereas the parallel shear compliance experiences an inverse effect.Additionally,the lattice structure transforms into a gradient material oriented in the hypergravity direction,consequently generating a scale effect.
