This thesis presents an approach to approximate the phenomena of linear thermoelasticity numerically in the framework of the Finite Cell Method (FCM). For this purpose, the governing equations of the thermal, elastic and linear thermoelastic system are derived in their strong and weak formulation. In particular, it is outlined how Dirichlet boundary conditions of the three problems can be imposed in the weak sense. In the second part of this work, the constrained weak field equations are discretized in space utilizing the ideas of the Finite Cell Method. The performance of this approach is demonstrated through different examples.
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This thesis presents an approach to approximate the phenomena of linear thermoelasticity numerically in the framework of the Finite Cell Method (FCM). For this purpose, the governing equations of the thermal, elastic and linear thermoelastic system are derived in their strong and weak formulation. In particular, it is outlined how Dirichlet boundary conditions of the three problems can be imposed in the weak sense. In the second part of this work, the constrained weak field equations are discret...
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