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Microstructures in phase-transitions of alloys are modeled by the energy minimization of a nonconvex energy density . Their time-evolution leads to a nonlinear wave equation with the non-monotone stress-strain relation plus proper boundary and initial conditions. This hyperbolic-elliptic initial-boundary value problem of changing types allows, in general, solely Young-measure solutions. This paper introduces a fully-numerical time-space discretization of this equation in a corresponding very...
Microstructures in phase-transitions of alloys are modeled by the
energy minimization of a nonconvex energy density ϕ. Their
time-evolution leads to a nonlinear wave equation
with the non-monotone stress-strain relation
plus proper boundary and initial conditions. This hyperbolic-elliptic
initial-boundary value problem of changing types allows, in general,
solely Young-measure solutions. This paper introduces a
fully-numerical time-space discretization of this equation in a
corresponding...
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