Dynamics of thermoelastic half-plane by action of periodic loads and heat flows at its boundary
| Autor: | L. A. Alexeyeva, B. Alipova |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Generalized function Plane (geometry) General Mathematics Mathematical analysis Dynamics (mechanics) Surface force Boundary (topology) 02 engineering and technology 021001 nanoscience & nanotechnology Action (physics) 020303 mechanical engineering & transports Thermoelastic damping 0203 mechanical engineering Mechanics of Materials General Materials Science Tensor 0210 nano-technology |
| Zdroj: | Mathematics and Mechanics of Solids. 26:1498-1506 |
| ISSN: | 1741-3028 1081-2865 |
| DOI: | 10.1177/1081286521993888 |
| Popis: | The problem of the dynamics of a thermoelastic half-space under periodic surface forces and heat flows is solved using the model of coupled thermoelasticity. The Green’s tensor for one boundary value problem is constructed utilizing Fourier transformation. Analytical solutions for arbitrary surface forces and heat flow using the theory of generalized functions are constructed. To solve this boundary value problem, generalized function theory, tensor and differential algebra, the operator method, and integral transformations were used. The solutions obtained make it possible to investigate the thermal stress–strain state of an array with natural and artificial thermal sources and mass power forces acting at its surface. |
| Databáze: | OpenAIRE |
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