摘要
从热力学第一定律出发可得到功能原理、平衡条件、几何方程。从热力学第二定律出发可得到最小变形能原理、最小势能原理。热力学第一定律和热力学第二定律是两类物理性质不同的弹性变形条件,二者相互独立,前者可确定弹性变形大小,后者可确定弹性变形分布规律。弹性力学中最小势能原理等价于平衡条件、广义势能原理等价于弹性力学基本方程的提法并不正确。
The principle of work and energy,equilibrium conditions and geometric equations can be derived based on the first law of thermodynamics,and minimum deformation principle and principle of minimum potential energy can be derived based on the second law of thermodynamics.These are two elastic deformation conditions with different physical properties,and being independent of each other.The magnitudes of elastic deformation can be determined by the former,and the distributions law can be determined by the latter.The wordings that principle of minimum potential energy is equivalent to equilibrium conditions and generalized principle of potential energy is equivalent to the basic equations of elasticity are not correct.
出处
《西安理工大学学报》
CAS
北大核心
2012年第3期326-329,共4页
Journal of Xi'an University of Technology
基金
陕西省教育厅自然科学专项基金资助项目(2010JK745)
关键词
弹性变形
热力学定律
势能原理
最小变形能原理
elastic deformation
laws of thermodynamics
principle of potential energy
minimum deformation energy principle
