Abstract
Abstract Two different boundary element methods (BEM) for crack analysis in two dimensional (2-D) antiplane, homogeneous, isotropic and linear elastic solids by considering frictional contact of the crack edges are presented. Hypersingular boundary integral equations (BIE) in time-domain (TD) and frequency domain (FD), with corresponding elastodynamic fundamental solutions are applied for this purpose. For evaluation of the hypersingular integrals involved in BIEs a special regularization process that converts the hypersingular integrals to regular integrals is applied. Simple regular formulas for their calculation are presented. For the problems solution while considering frictional contact of the crack edges a special iterative algorithm of Udzava's type is elaborated and used. Numerical results for crack opening, frictional contact forces and dynamic stress intensity factors (SIFs) are presented and discussed for a finite III-mode crack in an infinite domain subjected to a harmonic crack-face loading and considering crack edges frictional contact interaction using the TD and FD approaches.
Highlights
Cracks and other structural defects are often found in materials used in engineering structures, apparatus and devises
A comparative study of the time domain (TD) and the frequency domain (FD) boundary element methods (BEM) formulations and the analysis of their accuracy and efficiency is performed in this paper for the case of the frictional contact problem for antiplane crack interacted with harmonic HS polarized waves
We will solve the above formulated elastodynamic problem for the finite crack subjected to harmonic loading (1.13) using the TD BEM byh considering frictional contact conditions (1.15) and compare the result with FD solution
Summary
Comparative study of time and frequency domain BEM approaches in frictional contact problem for antiplane crack under harmonic loading. Engineering Analysis with Boundary Elements, Elsevier, 2013, 37 (11), pp.1499 - 1513. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés
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