A finite element analysis of the inclusion problem for power law viscous materials (Q1083888)

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scientific article; zbMATH DE number 3978484
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A finite element analysis of the inclusion problem for power law viscous materials
scientific article; zbMATH DE number 3978484

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    A finite element analysis of the inclusion problem for power law viscous materials (English)
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    1987
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    A finite element analysis is developed for the study of the inclusion problem in the case of power law viscous materials, and a method for the derivation of inclusion-matrix interface tractions is included. A close study of the mesh is detailed, which grounds on the analytical solution for a linearly viscous matrix. After preliminary tests are performed, the finite element program is applied to many cases of cylindrical or spheroidal inclusions with various hardness and aspect ratios and rate sensitivities. Results concerning as well the average strain rate and its distribution in the inclusion as the maximal tensile traction normal to the interface are presented and discussed.
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    penalty method
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    plane strain deformation
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    axisymmetric
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    finite element analysis
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    power law viscous materials
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    inclusion-matrix interface tractions
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    analytical solution
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    linearly viscous matrix
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    cylindrical or spheroidal inclusions
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    various hardness
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    aspect ratios
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    rate sensitivities
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    average strain rate
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    maximal tensile traction normal to the interface
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