Work

Concentrated Couple in a Plane and in a Half-Plane in the Framework of Fractional Nonlocal Elasticity

Year: 2025

Type: article

Abstract: In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper, we obtain solutions to elasticity problems for a concentrated couple in a plane and on the boundary of a half-plane within framework of a new theory of nonlocal elasticity, where the nonlocal kernel is the Green’s function of the Cauchy problem for the fractional diffusion equation. The obtained solutions are free from nonphysical singularities that appear in the classical local elasticity solutions.

Source: Applied Sciences

DOI: 10.3390/app15042048

Authors: Yuriy Povstenko, Tamara Kyrylych, Bożena Woźna-Szcześniak, Ireneusz Szcześniak, Andrzej Yatsko

Institutions: Jan Długosz University, Częstochowa University of Technology, Koszalin University of Technology

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4407658400

FWCI:

Cites: 41

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Related to: 10