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C1 natural element method for strain gradient linear elasticity and its application to microstructures
Strain gradient linear elasticity C1 natural element method Sibson interpolation Microstructures Size effects
2012/2/24
C1 natural element method (C1 NEM) is applied to strain gradient linear elasticity and size effects on microstructures are analyzed. The shape functions in C1 NEM are built upon the natural neighbor i...
大连理工大学工业装备结构分析国家重点实验室研究成果：应用力学对偶体系及弹性力学求解辛体系 Duality System in Applied Mechanics and Symplectic Solution System for Elasticity
大连理工大学工业装备结构分析国家重点实验室研究 应用力学 偶体系 弹性力学 求解辛体系
2008/3/9
实现将应用力学多个学科领域从欧几里德空间向辛几何空间的转换，建立了应用力学别开生面、统一的方法论。对偶体系扩大了解析求解范围，如求解了各向同性与异性板弯曲、层合板等问题的解析解；建立和完善了平面弹性与薄板弯曲问题的相似性理论，给出薄板弯曲和平面弹性问题的类H-R、类胡—鹫及多类变量变分原理，放弃传统的C1类连续性要求，构造了高效实用的板单元。对偶体系更易于促进力学与交叉学科领域的相互渗...
Exact solution of the plane problem of elasticity in a rectangular region
plane problem of elasticity rectangle equilibrium and compatibility equations eigenfunctions
2010/3/15
The exact solution of the quasi-static boundary value problem of plane elasticity in a rectangular region is constructed. This solution consisting of two parts satisfies both the conditions imposed on...
Bounded solutions;plane elasticity problems;a semi-plane
Bounded solutions of plane elasticity problems in a semi-plane
2010/3/15
Bounded solutions of plane elasticity problems in a semi-plane.
On the principle of complementary virtual work in the non-linear theory of elasticity
On the principle complementary virtual work the non-linear theory of elasticity
2010/3/15
On the principle of complementary virtual work in the non-linear theory of elasticity.
Kinematic admissibility of strains for some mixed boundary value problems in the dual system of micropolar theory of elasticity
Kinematic admissibility of strains mixed boundary value problems system of micropolar theory of elasticity
2010/3/15
Kinematic admissibility of strains for some mixed boundary value problems in the dual system of micropolar theory of elasticity.
Applicability of a constant Young's modulus in geometrically nonlinear elasticity
Applicability of a constant Young's modulus in geometrically nonlinear elasticity
2010/3/15
Applicability of a constant Young's modulus in geometrically nonlinear elasticity.