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Error Estimates of an Euler Method for a Quasistatic Elastic‐Visco‐Plastic Problem
Author(s) -
Ionescu I. R.
Publication year - 1990
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19900700304
Subject(s) - quasistatic process , viscoelasticity , interval (graph theory) , backward euler method , finite element method , mathematics , euler method , boundary value problem , euler's formula , mathematical analysis , numerical analysis , euler equations , physics , structural engineering , engineering , combinatorics , quantum mechanics , thermodynamics
An initial and boundary value problem for a rate type elastic‐visco‐plastic material is considered. An Euler method as well as internal and external approximation techniques are used in order to obtain the numerical solution of the problem. The error is estimated over a finite time interval. In the viscoelastic case the error is estimated over an infinite time interval provided that the time step is less than a critical value. A one dimensional numerical example is successfully integrated using this numerical approach and a finite element technique.