Abstract
AbstractA multi‐phase composite with jumps on the interface is analyzed. The composite components are aging linear viscoelastic (described by the integral Volterra operator of non‐convolution type) and are subjected to isotropic shrinkage (or thermoelastic deformation). First, the theory of Volterra operators is extended to the Bochner‐ Volterra integral operators. Then these results are used to prove existence and uniqueness of the weak solution to the general transmission problem of viscoelasticity with mixed boundary conditions in the class of continuous Sobolev‐valued functions.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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