Modelling of Generalised Thermoelastic Wave Propagation of Multilayer Material under Thermal Shock Behaviour
This paper describes a time-discontinuous Galerkin finite element method (DGFEM-βc) for the generalised thermoelastic problem of multilayer materials subjected to a transient high-frequency heat source. The governing and constitutive relations are presented on the basis of the well-known Lord–Shulma...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/8398673 |
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| Summary: | This paper describes a time-discontinuous Galerkin finite element method (DGFEM-βc) for the generalised thermoelastic problem of multilayer materials subjected to a transient high-frequency heat source. The governing and constitutive relations are presented on the basis of the well-known Lord–Shulman (L–S) theory. A DGFEM-βc method is developed to allow the general temperature-displacement vector and its temporal gradient to be discontinuous at a fixed time t. A stiffness proportional artificial damping term is added to the final DG discretisation form to filter out the spurious numerical oscillations in the wave-after stage and at adjacent-layer interfaces. The numerical results show that the present DGFEM-βc provides much more accurate solutions for generalised thermoelastic coupled behaviour of multilayer structures. Compared with widely used traditional numerical methods (e.g., the Newmark method), the present DGFEM-βc can effectively capture the discontinuities behaviours of impulsive waves in space in the simulation of high modes and sharp gradients. |
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| ISSN: | 1070-9622 1875-9203 |