<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The problem of longitudinal shear of bimaterial with thin nonlinear elastic inclusion at the interface of matrix materials is considered. Solution of the problem is constructed using the boundary value problem of combining analytical functions and jump functions method. The model of the thin inclusion with nonlinear resilient parameters is built. Solution of the problem is reduced to a system of singular integral equations with variable coefficients. The convergent iterative method for solving such a system is offered for various nonlinear strain models, including Ramberg-Osgood law. Numerical calculations are carried out for different values of non-linearity characteristic parameters for the inclusion material. Their parameters are analysed for the tensely-deformed matrix under loading a uniformly distributed shear stresses and for a balanced system of the concentrated forces.</p></abstract>

The problem of longitudinal shear of bimaterial with thin nonlinear elastic inclusion at the interface of matrix materials is considered. Solution of the problem is constructed using the boundary value problem of combining analytical functions and jump functions method. The model of the thin inclusion with nonlinear resilient parameters is built. Solution of the problem is reduced to a system of singular integral equations with variable coefficients. The convergent iterative method for solving such a system is offered for various nonlinear strain models, including Ramberg-Osgood law. Numerical calculations are carried out for different values of non-linearity characteristic parameters for the inclusion material. Their parameters are analysed for the tensely-deformed matrix under loading a uniformly distributed shear stresses and for a balanced system of the concentrated forces.

Antiplane Deformation of a Bimaterial with Thin Interfacial Nonlinear Elastic Inclusion

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The problem of longitudinal shear of bimaterial with thin nonlinear elastic inclusion at the interface of matrix materials is considered. Solution of the...

Antiplane Deformation of a Bimaterial with Thin Interfacial Nonlinear Elastic Inclusion

Online veröffentlicht: 16. Okt. 2018

Seitenbereich: 190 - 195

Eingereicht: 13. März 2017

Akzeptiert: 10. Aug. 2018

DOI: https://doi.org/10.2478/ama-2018-0029

Schlüsselwörter
Antiplane Deformation, Longitudinal Shear, Nonlinear Elasticity, Interfacial Crack, Thin Inclusion, Stress Intensity Factor, Bimaterial, Jump Function, Singular Integral Equation

© 2018 Bialystok University of Technology published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Antiplane Deformation of a Bimaterial with Thin Interfacial Nonlinear Elastic Inclusion

Online veröffentlicht: 16. Okt. 2018

Seitenbereich: 190 - 195

Eingereicht: 13. März 2017

Akzeptiert: 10. Aug. 2018

DOI: https://doi.org/10.2478/ama-2018-0029

SchlüsselwörterAntiplane Deformation, Longitudinal Shear, Nonlinear Elasticity, Interfacial Crack, Thin Inclusion, Stress Intensity Factor, Bimaterial, Jump Function, Singular Integral Equation

© 2018 Bialystok University of Technology published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Schlüsselwörter
Antiplane Deformation, Longitudinal Shear, Nonlinear Elasticity, Interfacial Crack, Thin Inclusion, Stress Intensity Factor, Bimaterial, Jump Function, Singular Integral Equation