Extended framework of Hamilton's principle for continuum dynamics

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Kim, Jinkyu¹  Dargush, Gary F.²  Ju, Young-Kyu¹ 

[1] Korea Univ, Sch Civil Environm & Architectural Engn, Seongbuk Goo 136713, South Korea

[2] SUNY Buffalo, Dept Mech & Aerosp Engn, Buffalo, NY 14260 USA

关键词: Hamilton's principle;    Initial conditions;    Mixed formulation;    Continua dynamics;    Space-time finite element;    Non-iterative algorithm;   

DOI  :  10.1016/j.ijsolstr.2013.06.015

来源: Elsevier

【 摘 要 】

Hamilton's principle is the variational principle for dynamical systems, and it has been widely used in mathematical physics and engineering. However, it has a critical weakness, termed end-point constraints, which means that in the weak form, we cannot use the given initial conditions properly. By utilizing a mixed formulation and sequentially assigning initial conditions, this paper presents a novel extended framework of Hamilton's principle for continuum dynamics, to resolve such weakness. The primary applications lie in an elastic and a J(2)-viscoplastic continuum dynamics. The framework is simple, and initiates the development of a space-time finite element method with the proper use of initial conditions. Non-iterative numerical algorithms for both elasticity and J(2)-viscoplasticity are presented. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free