偏余能密度、其变分原理及在弹性力学中的应用
Partial Complementary Energy Densities, Their Variational Principles and Applications in Elasticity
AI总结：
本文通过偏Legendre变换引入偏余能密度，提出基于该密度的混合变分原理，并证明其在推导弹性板和杆的一、二维理论中具有重要应用价值。
摘要：
通过从线性弹性应变能密度的偏Legendre变换引入偏余能密度。它们具有应变和应力张量的混合分量。基于这些能量密度的混合变分原理被提出。结果表明，这些变分原理在推导弹性板和杆的二维及一维理论中非常有用。
英文摘要：
Partial complementary energy densities are introduced through partial Legendre transforms from the strain energy density of linear elasticity. They have mixed components of the strain and stress tensors. Mixed variational principles based on these energy densities are presented. It is shown that these variational principles are useful in the derivation of two- and one-dimensional theories of elastic plates and rods.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
