Comparison of boundary element and finite element methods in two-dimensional inelastic analysis

Finite element analysis of time‐dependent inelastic deformation in the presence of transient thermal stresses

“…The initial distribution of displacements and stresses are obtained by solving the corresponding thermoelastic problem. The rates of nonelastic strains and state variables at the initial time are obtained from the constitutive equations (2-4) and the temperature rates are obtained from equations (10)(11). These rates are used in equation (13) which is solved to give the initial rates of nodal displacements.…”

“…Spatial integration of the relevant equations have been carried out by the finite element or boundary element method [8][9][10][11] and time-integration by a march forward time-integration scheme with automatic time step control [12]. In these papers, two-dimensional isothermal inelastic daformation problems have been solved and the constitutive model due to Hart [1,2] has been used.…”

A boundary element formulation for planar time-dependent inelastic deformation of plates with cutouts

“…[1,2]), but applications to nonlinear inelasticity problems have been relatively few. The authors of this paper together with others, have been interested in the application of the BEM to problems of time-dependent inelastic deformation [3][4][5][6][7]. Planar problems are considered in refs.…”

“…The kernels used in the integral equations in refs. [3][4][5][6] are the usual Kelvin traction and displacement functions for unit point loads in an infinite region. In the numerical procedure, boundary conditions along outsids as well as inslue boundaries {in multiply connected bodies) are satisfied at discrete points.…”

Inelastic Analysis of Transverse Deflection of Plates by the Boundary Element Method

“…Mukherjee and his coworkers recently presented a boundary element method formulation for nonlinear time-dependent inelastic deformation problems [3]. This was followed by numerical implementation of the method for planar problems [4,5] and a comparison of the BEM with the widely used finite element method (FEM) [6]. It was demonstrated in .references [5,6] that the BEM is a very powerful method with several potential.…”