Mixed Lagrangian Formulation for Linear Thermoelastic Response of Structures

作     者：Apostolakis, Georgios Dargush, Gary F. 

作者机构：SUNY Buffalo Dept Mech & Aerosp Engn Buffalo NY 14260 USA 

出 版 物：《JOURNAL OF ENGINEERING MECHANICS-ASCE》 (工程力学杂志)

年 卷 期：2012年第138卷第5期

页      面：508-518页

核心收录：

学科分类：08[工学] 0802[工学-机械工程] 0813[工学-建筑学] 0814[工学-土木工程] 

主　　题：Thermoelasticity Variational methods Mixed Lagrangian formulation Hamilton's principle Discrete variational calculus Mixed methods Flexibility methods Symplectic algorithms 

摘      要：Although a complete unified theory for elasticity, plasticity, and damage does not yet exist, an approach on the basis of thermomechanical principles may be able to serve as the foundation for such a theory. With this in mind, as a first step, a mixed formulation is developed for fully coupled, spatially discretized linear thermoelasticity under the Lagrangian formalism by using Hamilton s principle. A variational integration scheme is then proposed for the temporal discretization of the resulting Euler-Lagrange equations. With this discrete numerical time-step solution, it becomes possible, for proper choices of state variables, to restate the problem in the form of an optimization. Ultimately, this allows the formulation of a principle of minimum generalized complementary potential energy for the discrete-time thermoelastic system. DOI: 10.1061/(ASCE)EM.1943-7889.0000346. (C) 2012 American Society of Civil Engineers.