General decay for a coupled Lamé system of nonlinear viscoelastic equations
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DOI: 10.1002/mma.5998
Abstract: In this paper, we consider a coupled Lamé system of nonlinear viscoelastic equations with general source terms. Under some suitable conditions on the initial data and the relaxation functions, we prove an asymptotic stability result… read more here.
Keywords: coupled lam; system nonlinear; lam system; nonlinear viscoelastic ... See more keywords
Quantitative Characterization of Stress Concentration in the Presence of Closely Spaced Hard Inclusions in Two-Dimensional Linear Elasticity
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DOI: 10.1007/s00205-018-1318-1
Abstract: In the region between close-to-touching hard inclusions, stress may be arbitrarily large as the inclusions get closer. This stress is represented by the gradient of a solution to the Lamé system of linear elasticity. We… read more here.
Keywords: lam system; singular functions; linear elasticity; stress ... See more keywords
On the Theory of Anisotropic Flat Elasticity
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DOI: 10.1007/s10958-018-4083-7
Abstract: For the Lamé system from the flat anisotropic theory of elasticity, we introduce generalized double-layer potentials in connection with the function-theory approach. These potentials are built both for the translation vector (the solution of the… read more here.
Keywords: lam system; elasticity; anisotropic flat; system ... See more keywords