A model to a coupled thermal-viscoelastic finite deformation problem is presented. The nonlinearities are solved using the successive linear approximation method. This method uses the relative Lagrangian formulation and the idea of the superposed large deformation by small deformations. Furthermore, the constitutive equations are calculated at each state, with the reference configuration updated for each time step. After the problem is linearized, the finite element method is used. To exemplify the model a simulation of an oil well closure is presented.

中文翻译：

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热粘弹性固体中的相对拉格朗日公式

提出了耦合热粘弹性有限变形问题的模型。非线性是使用逐次线性逼近方法解决的。该方法使用相对拉格朗日公式和小变形叠加大变形的思想。此外，在每个状态下计算本构方程，每个时间步更新参考配置。问题线性化后，使用有限元方法。为了举例说明该模型，提出了油井关闭的模拟。