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Zhang Zhennan Ge Xiurun Li Yonghe 《Acta Mechanica Solida Sinica》2006,19(3):196-202
Only two macroscopic parameters are needed to describe the mechanical properties of linear elastic solids, i.e. the Poisson's ratio and Young's modulus. Correspondingly, there should be two microscopic parameters to determine the mechanical properties of material if the macroscopic mechanical properties of linear elastic solids are derived from the microscopic level. Enlightened by this idea, a multiscale mechanical model for material, the virtual multi-dimensional internal bonds (VMIB) model, is proposed by incorporating a shear bond into the virtual internal bond (VIB) model. By this modification, the VMIB model associates the macro mechanical properties of material with the microscopic mechanical properties of discrete structure and the corresponding relationship between micro and macro parameters is derived. The tensor quality of the energy density function, which contains coordinate vector, is mathematically proved. Prom the point of view of VMIB, the macroscopic nonlinear behaviors of material could be attributed to the evolution of virtual bond distribution density induced by the imposed deformation. With this theoretical hypothesis, as an application example, a uniaxial compressive failure of brittle material is simulated. Good agreement between the experimental results and the simulated ones is found. 相似文献
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横观各向同性压电材料的特征值的不同,其一般解的形式也不同,压电结合材料问题的求解,可以归结为寻找合适的调和函数,针对材料特征值为二重根(s1^2≠s2^2=s3^2)的情况,将变量分离形式的调和函数作特征展开,推导了横观各向同性压电材料轴对称异材界面端附近的奇民异应力场和奇异电位移场,给出院 决定奇异性的特性方程,结果表明,电位移场和应力场具有相同的奇异性,奇异性次数不仅与界面端形状以及材料的机械性质有关。也与材料的压电特性有关。 相似文献
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该文研究了薄膜涂层材料结构形式中薄膜涂层内部受垂直于界面的集中力作用下的显式理论解.基于三维轴对称理论,将位移函数设定为固定于力作用点和各映射点的局部坐标系下的形式,借助界面连续性条件和Dirichlet原理,所有未知位移函数可通过递推方式由无限体受集中力作用的基础解函数得到.该理论解以无穷级数形式给出.最后给出了该理论解和有限元数值计算的结果比较,表明收敛速度很快,一般只需前面几个映射点便可达到足够的精确度. 相似文献
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