<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper demonstrates the stress free thermo-elastic problem of the FGM thick plate. Existence of such a purely thermal deformation is proved in two ways. First proof is based on application of the Iljushin thermo-elastic potential to displacement type system of equations. This reduces 3D problem to the plane stress state problem. Next it is shown that the unique solution fulfils conditions of simultaneous constant temperature and linear gradation of thermal expansion coefficient. Second proof is based directly on stress type system of equations which straightforwardly reduces to compatibility equations for purely thermal deformation. This occurs if only stress field is homogeneous in domain and at boundary. Finally an example of application to an engineering problem is presented.</p></abstract>

This paper demonstrates the stress free thermo-elastic problem of the FGM thick plate. Existence of such a purely thermal deformation is proved in two ways. First proof is based on application of the Iljushin thermo-elastic potential to displacement type system of equations. This reduces 3D problem to the plane stress state problem. Next it is shown that the unique solution fulfils conditions of simultaneous constant temperature and linear gradation of thermal expansion coefficient. Second proof is based directly on stress type system of equations which straightforwardly reduces to compatibility equations for purely thermal deformation. This occurs if only stress field is homogeneous in domain and at boundary. Finally an example of application to an engineering problem is presented.

On The Stress Free Deformation Of Linear FGM Interface Under Constant Temperature

Institute of Applied Mechanics, Department of Mechanical Engineering, Cracow University of Technology, 31-864 Kraków, al. Jana Pawła II 37, Poland

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper demonstrates the stress free thermo-elastic problem of the FGM thick plate. Existence of such a purely thermal deformation is proved in two ways....

On The Stress Free Deformation Of Linear FGM Interface Under Constant Temperature

Data publikacji: 07 lis 2015

Zakres stron: 135 - 139

Otrzymano: 24 lut 2015

Przyjęty: 14 paź 2015

DOI: https://doi.org/10.1515/ama-2015-0022

Słowa kluczowe
Linear FGM Interface, Stress Free Deformation

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On The Stress Free Deformation Of Linear FGM Interface Under Constant Temperature

Data publikacji: 07 lis 2015

Zakres stron: 135 - 139

Otrzymano: 24 lut 2015

Przyjęty: 14 paź 2015

DOI: https://doi.org/10.1515/ama-2015-0022

Słowa kluczoweLinear FGM Interface, Stress Free Deformation

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
Linear FGM Interface, Stress Free Deformation