An anlytical solution with local elastoplastic models for the evolution of dynamic softening (Q1579799)

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scientific article; zbMATH DE number 1507081
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An anlytical solution with local elastoplastic models for the evolution of dynamic softening
scientific article; zbMATH DE number 1507081

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    An anlytical solution with local elastoplastic models for the evolution of dynamic softening (English)
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    23 April 2002
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    It is known that in strain-softening materials the localization can produce progressively evolving microcracks. Here this effect is studied in a strain-softening bar. The model is based on a constitutive strain-stress relationship with two slopes, one positive providing the linear behaviour and described by a hyperbolic equation, and the other negative described by an elliptic equation. The authors obtain a stable unique solution for the discussed problem, and calculate the diffusion speed of moving material boundary separating the softening and nonsoftening parts.
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    local elastoplastic model
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    evolution of dynamic softening
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    localization
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    strain-softening bar
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    hyperbolic equation
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    elliptic equation
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    unique solution
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    diffusion speed
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    moving material boundary
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