Hits:

Indexed by:期刊论文

Date of Publication:2018-04-01

Journal:ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

Included Journals:SCIE

Volume:98

Issue:4

Page Number:542-553

ISSN No.:0044-2267

Key Words:Thermo-viscoelasticity; symplectic method; Hamiltonian system; fracture analysis

Abstract:A Hamiltonian-based methodology is presented to study the fracture behaviors of the thermo-viscoelastic materials based on the Laplace transform. The governing equations and associated boundary conditions are rebuilt in a Hamiltonian form by using the symplectic mathematics in the frequency domain (s-domain). The fundamental unknown vector composed of both displacements and stresses variables is expanded in terms of the symplectic eigensolutions. The corresponding unknown coefficients of the symplectic series are determined from the outer boundary conditions. Thus, the main unknowns are obtained and transformed into the time domain (t-domain). The fracture parameters including stress intensity factors (SIFs) and J-integrals are derived simultaneously. Numerical examples as well as convergence studies are given and are found to be in good agreement with the ANSYS results. A parametric study of thermo-viscoelastic parameters is included also.