On a problem of the theory of elasticity
Maksut M. Abenov, Nourlan B. Shaltykov
TL;DR
This paper provides an exact solution to the Cauchy problem in linear elasticity for a specific class of initial data, advancing the theoretical understanding of elastic behavior.
Contribution
It offers a novel exact solution for a class of initial conditions in the linear elasticity Cauchy problem, which was previously unresolved.
Findings
Exact solution for specific initial data in linear elasticity
Advances theoretical understanding of elastic behavior
Provides a basis for further analytical studies
Abstract
The exact solution of the Cauchy problem of the linear theory of elasticity is given in the paper, when the initial data belong to a specific class of functions.
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Taxonomy
TopicsElasticity and Wave Propagation · Advanced Mathematical Modeling in Engineering