Viscoelastic analysis method of discontinuous deformation computational mechanics modelⅠ:fundamental theory
  Revised:July 11, 2002
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DOI:10.7511/jslx20044078
KeyWord:generalized finite element,discontinuous deformation,viscoelastic analysis,contact-force element,interaction,multi-body system,interface,contact
Li Yong~
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Abstract:
      Based on generalized finite element with viscoelatic behavior and contact-force element, developed in this paper is a method of viscoelastic numerical analysis of discontinuous deformation computational mechanics which is capable to simulate the discontinuous deformation behavior of multi-body interaction system. The divisional parametric principle of minimum potential energy is established by virtual work principle and then the theoretical basis of the method is illustrated. Because that constitutive relation of the viscoelastic generalized finite element may display different features including viscoelastic to elastic or rigid, numerical simulations of complex behavior of multi-body system composed of rigid bodies, elastic bodies and viscoelastic bodies subjected to external loading can be practiced by the proposed method. Relatively accurate estimations of contact stresses among bodies can be achieved directly.