Nonlinear model of source of a elastic field

TL;DR

This paper introduces a nonlinear model for the source of elastic fields, emphasizing the role of symmetry breaking in long-range interactions and describing defects as nonlinear sources at short distances.

Contribution

It proposes a novel nonlinear model for elastic field sources, extending the linear theory to account for symmetry breaking and nonlinear behavior near defects.

Findings

Long-range interactions are determined by symmetry breaking.

Defects can be modeled as nonlinear sources.

The model bridges short-distance nonlinear behavior with far-field linear theory.

Abstract

A general description of the long-range elastic interaction is proposed. The far-field type of the interaction is determined by the way of symmetry breaking of the distribution of the elastic field produced by the topological defect as isolated inclusions. Every topological defect can be present as the source of the elastic field and can be described in the terms of this field. At the short distance the source can be described as nonlinear object which present charge of linear theory of elastic field at the far distance. In this article the nonlinear models of source of a elastic field was proposed.