【摘要】 应变能是弹性体变形程度的度量 ,而各向同性弹性材料的应变能又是应变张量不变量的函数 .基于这一有限变形弹性理论 ,可以建立构造各种有限单元畸变度的统一方法 .对于常见的几种常用单元 ,如三角形、四边形、四面体和六面体 ,利用有限元等参变换 ,导出了畸变度的计算公式 .由于这些畸变的度量与真实的物理现象联系在一起 ,因此在理论上更具合理性更多还原

【Abstract】 The strain energy is a deformation measurement of elastic continuums. For an isotropic elastic material, the strain energy is a function of the strain tensor invariant. By this consideration, some expressions for triangular, quadrangular, tetrahedron and hexahedron element qualities can be derived. It is more rational and more logical to construct these expressions in such a way.更多还原