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Matrix differential equation and higher‐order numerical methods for problems of non‐linear creep, viscoelasticity and elasto‐plasticity

 

作者: Z. P. Bažant,  

 

期刊: International Journal for Numerical Methods in Engineering  (WILEY Available online 1972)
卷期: Volume 4, issue 1  

页码: 11-15

 

ISSN:0029-5981

 

年代: 1972

 

DOI:10.1002/nme.1620040104

 

出版商: John Wiley&Sons, Ltd

 

数据来源: WILEY

 

摘要:

AbstractThe constitutive equation is assumed in a very general form which includes as special cases non‐linear creep, incremental elasto‐plasticity as well as viscoelasticity represented by a chain ofnstandard solid models. Subdividing the structure intoNfinite elements, the problem of structural analysis is formulated with a system of 6N(n+ 1) ordinary non‐linear first‐order differential equations in terms of the components of stresses and strains in the elements. This formulation enables one to apply Runge–Kutta methods or the predictor–correc

 

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