A bimodal plasticity theory of fibrous composite materials
type: Item
instance of: scholarly article
title: A bimodal plasticity theory of fibrous composite materials
zbMATH Open document ID: 0633.73049
DOI: 10.1007/BF01175723
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: It is shown that elastic-plastic response of metal matrix composites reinforced by aligned continuous fibers can be described in terms of two distinct modes. In the matrix-dominated mode, the composite deforms primarily by plastic slip in the matrix, on planes which are parallel to the fiber axis. In the fiber-dominated mode, both phases deform together in the elastic and plastic range. Constitutive equations are derived for the matrix-dominated mode of deformation in composites with elastic- perfectly plastic matrices. Response in the fiber-dominated mode is approximated by the self-consistent and Voigt models. The two deformation modes give different branches of the overall yield surface which identify the state of stress that activates a particular mode, and indicate the conditions for mode transition in a given composite system. The matrix- dominated mode is found to exist in systems reinforced by fibers of large longitudinal shear stiffness, such as boron or silicon carbide. Systems reinforced by more compliant fibers, such as graphite, appear to deform exclusively in the fiber-dominated mode. The results show good agreement with experimental data, and with prediction obtained from a more accurate material model. They also help to reconcile several different plasticity theories of fibrous composites, and suggest limits of their validity.
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 4031137
zbMATH Keywords: elastic-plastic response
zbMATH Keywords: metal matrix composites
zbMATH Keywords: reinforced
zbMATH Keywords: aligned continuous fibers
zbMATH Keywords: matrix-dominated mode
zbMATH Keywords: elastic-perfectly plastic matrices
author: George J. Dvorak
author: Yehia A. Bahei-El-Din
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4031137