The Cauchy Problem Of The Moment Theoiry Elasticity In $R^{n} $
I. E. Niyozov, O. I. Makhmudov
TL;DR
This paper investigates the analytical continuation of solutions to the moment theory of elasticity in bounded domains, focusing on the Cauchy problem involving boundary data and strains.
Contribution
It addresses the Cauchy problem for the moment theory of elasticity, providing new insights into the continuation of solutions from boundary and strain data.
Findings
Established conditions for analytical continuation of solutions.
Derived methods for solving the Cauchy problem in elasticity.
Extended the theory to higher-dimensional spaces.
Abstract
In this paper, we considered the problem of analytical continuation of the solution of the system equations of the moment theory of elasticity in spacious bounded domain from its values and values of its strains on part of the boundary of this domain, i.e., the Cauchy's problem.
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Taxonomy
TopicsStructural mechanics and materials · Elasticity and Wave Propagation · Heat Transfer and Mathematical Modeling