Penalty Formulation Of Damage In
Classical Composites
Author(s)
P. Procházka & J. Matyáš
Abstract
The problem of damage in composites has long been studied by many authors.
This paper is going to bring a new formulation, which is based on a combination of penalty and boundary element formulation. It is proved that this approach
offers a combination of two very powerful tools. The penalty formulation can be
very easily realized from the engineering point of view. It starts with artificial
spring realization of contact. Such visualization provides a large range of
different technical applications, involving simple and multiple coatings, artificial
lay-out of contacts between fibers and matrix, and such like. The boundary
element method, on the other hand, is very suitable for solving contact problems.
The only problem when using the BEM is the nonlinear behavior of the matrix.
Nevertheless such hurdles can be overcome by a well known trick: the
introduction of a polarization tensor. By virtue of this tensor the influence of the
fiber is eliminated (assuming the elastic behavior of the fibers) and the matrix is
the only domain, which can be described as plastic. Moreover, attempts have
shown that the plastic zones are concentrated only in small areas and a fine
discretization of the domain of matrix is concentrated into these zones. A couple
of examples accompany the theory.
Keynotes: classical composites, damage at interfacial zone, penalty formulation.
1 Introduction
In this paper a problem of debonding of fibers from matrix, the influence of
loading choice, prevailingly in normal direction, and a range of damage along the
interface of phases are studied. The generalized Mohr-Coulomb interfacial
conditions are taken into account including the tensile stresses at the fiber-matrix
interface to be excluded. The loading is introduced in the classical way in such a
Keywords
classical composites, damage at interfacial zone, penalty formulation.
Related Book
Other papers in this volume
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