Theoretical and experimental considerations in representing macroscale flow/damage surfaces for metal matrix composites

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Abstract

This report shows how robust, multiaxial, constitutive models for advanced materials can be formulated by using micromechanics to address theoretical and experimental issues. An analytical micromechanical model that includes viscoplastic matrix response, as well as fiber-matrix debonding, is used to predict the multiaxial response of metal matrix composites in terms of macro* flow/damage surfaces at room and elevated temperatures. Macro flow/damage surfaces (i.e. debonding envelopes, matrix threshold surfaces, macro 'yield' surfaces, surfaces of constant inelastic strain rate, and surfaces of constant dissipation rate) are determined for a silicon carbide/titanium composite in three stress spaces. The flow/damage surfaces are shown to have their centers offset from the origin by residual stresses and their shape altered by debonding. The normality condition is shown to be reasonably well satisfied for macro surfaces of constant dissipation rate in the presence of fiber-matrix debonding. These results indicate which types of flow/damage surfaces should be characterized and what loadings must be applied to obtain the most meaningful experimental data for guiding theoretical model development and verification.

Original languageEnglish (US)
Pages (from-to)327-358
Number of pages32
JournalInternational journal of plasticity
Volume13
Issue number4
DOIs
StatePublished - Jan 1 1997

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Metals
Composite materials
Debonding
Macros
Micromechanics
Fibers
Titanium
Constitutive models
Silicon carbide
Strain rate
Residual stresses

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Theoretical and experimental considerations in representing macroscale flow/damage surfaces for metal matrix composites",
abstract = "This report shows how robust, multiaxial, constitutive models for advanced materials can be formulated by using micromechanics to address theoretical and experimental issues. An analytical micromechanical model that includes viscoplastic matrix response, as well as fiber-matrix debonding, is used to predict the multiaxial response of metal matrix composites in terms of macro* flow/damage surfaces at room and elevated temperatures. Macro flow/damage surfaces (i.e. debonding envelopes, matrix threshold surfaces, macro 'yield' surfaces, surfaces of constant inelastic strain rate, and surfaces of constant dissipation rate) are determined for a silicon carbide/titanium composite in three stress spaces. The flow/damage surfaces are shown to have their centers offset from the origin by residual stresses and their shape altered by debonding. The normality condition is shown to be reasonably well satisfied for macro surfaces of constant dissipation rate in the presence of fiber-matrix debonding. These results indicate which types of flow/damage surfaces should be characterized and what loadings must be applied to obtain the most meaningful experimental data for guiding theoretical model development and verification.",
author = "{Lissenden, III}, {Clifford Jesse} and Arnold, {Steven M.}",
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N2 - This report shows how robust, multiaxial, constitutive models for advanced materials can be formulated by using micromechanics to address theoretical and experimental issues. An analytical micromechanical model that includes viscoplastic matrix response, as well as fiber-matrix debonding, is used to predict the multiaxial response of metal matrix composites in terms of macro* flow/damage surfaces at room and elevated temperatures. Macro flow/damage surfaces (i.e. debonding envelopes, matrix threshold surfaces, macro 'yield' surfaces, surfaces of constant inelastic strain rate, and surfaces of constant dissipation rate) are determined for a silicon carbide/titanium composite in three stress spaces. The flow/damage surfaces are shown to have their centers offset from the origin by residual stresses and their shape altered by debonding. The normality condition is shown to be reasonably well satisfied for macro surfaces of constant dissipation rate in the presence of fiber-matrix debonding. These results indicate which types of flow/damage surfaces should be characterized and what loadings must be applied to obtain the most meaningful experimental data for guiding theoretical model development and verification.

AB - This report shows how robust, multiaxial, constitutive models for advanced materials can be formulated by using micromechanics to address theoretical and experimental issues. An analytical micromechanical model that includes viscoplastic matrix response, as well as fiber-matrix debonding, is used to predict the multiaxial response of metal matrix composites in terms of macro* flow/damage surfaces at room and elevated temperatures. Macro flow/damage surfaces (i.e. debonding envelopes, matrix threshold surfaces, macro 'yield' surfaces, surfaces of constant inelastic strain rate, and surfaces of constant dissipation rate) are determined for a silicon carbide/titanium composite in three stress spaces. The flow/damage surfaces are shown to have their centers offset from the origin by residual stresses and their shape altered by debonding. The normality condition is shown to be reasonably well satisfied for macro surfaces of constant dissipation rate in the presence of fiber-matrix debonding. These results indicate which types of flow/damage surfaces should be characterized and what loadings must be applied to obtain the most meaningful experimental data for guiding theoretical model development and verification.

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