An initial-boundary value problem for elastic plates

C. Constanda

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In contrast to the classical linear theory of elasticity the solution of the initial boundary-value problem of elastic-plastic bodies genuinely depends on the history of loading. Incremental methods take this fact into account, in general, by replacing the highly non-linear problem by a sequence of linear problems. This change of the mathematical model may lead to mispredictions of the behaviour of the considered body like the missing out of bifurcations and drifting of the solution. Moreover, minimum properties of incremental variational principles have only reduced value because the basic assumption of the exact knowledge of the reference state holds exclusively for the natural state.

title = "An initial-boundary value problem for elastic plates",

abstract = "In contrast to the classical linear theory of elasticity the solution of the initial boundary-value problem of elastic-plastic bodies genuinely depends on the history of loading. Incremental methods take this fact into account, in general, by replacing the highly non-linear problem by a sequence of linear problems. This change of the mathematical model may lead to mispredictions of the behaviour of the considered body like the missing out of bifurcations and drifting of the solution. Moreover, minimum properties of incremental variational principles have only reduced value because the basic assumption of the exact knowledge of the reference state holds exclusively for the natural state.",

keywords = "elasticity, boundary value, linear mathematics, fluid dyanmics",

author = "C. Constanda",

year = "2002",

language = "English",

isbn = "0-8176-4213-7",

pages = "63--68",

booktitle = "Integral Methods in Science and Engineering",

Integral Methods in Science and Engineering. 2002. p. 63-68.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - An initial-boundary value problem for elastic plates

AU - Constanda, C.

PY - 2002

Y1 - 2002

N2 - In contrast to the classical linear theory of elasticity the solution of the initial boundary-value problem of elastic-plastic bodies genuinely depends on the history of loading. Incremental methods take this fact into account, in general, by replacing the highly non-linear problem by a sequence of linear problems. This change of the mathematical model may lead to mispredictions of the behaviour of the considered body like the missing out of bifurcations and drifting of the solution. Moreover, minimum properties of incremental variational principles have only reduced value because the basic assumption of the exact knowledge of the reference state holds exclusively for the natural state.

AB - In contrast to the classical linear theory of elasticity the solution of the initial boundary-value problem of elastic-plastic bodies genuinely depends on the history of loading. Incremental methods take this fact into account, in general, by replacing the highly non-linear problem by a sequence of linear problems. This change of the mathematical model may lead to mispredictions of the behaviour of the considered body like the missing out of bifurcations and drifting of the solution. Moreover, minimum properties of incremental variational principles have only reduced value because the basic assumption of the exact knowledge of the reference state holds exclusively for the natural state.

KW - elasticity

KW - boundary value

KW - linear mathematics

KW - fluid dyanmics

UR - http://www.springer.com/west/home/generic/search/results?SGWID=4-40109-22-2117516-0