Dynamic non-linear stress analysis by the mass matrix BEM

• Published in: Engineering analysis with boundary elements Vol. 24; no. 9; pp. 623 - 632
• Main Authors: Coda, H.B., Venturini, W.S.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.10.2000; Elsevier
• Subjects: Boundary-integral methods; Computational techniques; Elastoplasticity; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Implicit acceleration method; Inelasticity (thermoplasticity, viscoplasticity...); Integral and integrodifferential equations; Integral equation and boundary element method; Mathematical methods in physics; Numerical approximation and analysis; Physics; Solid mechanics; Structural and continuum mechanics; Transient dynamics; Viscoelasticity, plasticity, viscoplasticity; Implicit acceleration method; Elastoplasticity; Integral equation and boundary element method; Transient dynamics; Viscosity; Transient response; Stress analysis; Stress wave; Displacement(deformation); Numerical method; Varying speed; Time dependence; Inelasticity; Temperature effects; Integral equations; Differential equations; Strain measurement; Mass matrix; Acceleration; Non linear effect; Boundary element method
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/S0955-7997(00)00047-3

This paper deals with the elastoplastic boundary element formulation applied to transient problems. An improved procedure to take into account the non-linear influences on acceleration and velocity is proposed. Integral representations of displacements and strains are derived taking into account the following domain terms: plastic strains, mass effects, viscosity and other temperature-like effects. The required domain variable approximations are given by adopting internal cells over which shape functions are properly defined. The Kelvin static fundamental solution is used in writing the integral representations, which gives the matrix time dependent differential equation that governs the problem.