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首页> 外文期刊>Journal of thermal stresses >Unified finite element approach for generalized coupled thermoelastic analysis of 3D beam-type structures, part 1: Equations and formulation
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Unified finite element approach for generalized coupled thermoelastic analysis of 3D beam-type structures, part 1: Equations and formulation

机译：用于3D梁型结构的广义耦合热弹性分析的统一有限元方法，第1部分：公式和公式

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摘要

An innovative 1D finite element (FE) approach is developed to analyze the 3D static, transient, and dynamic problems in the coupled and uncoupled thermoelasticity for the nonhomogeneous anisotropic materials. The Galerkin method is directly applied to the governing equations to obtain a weak formulation of the thermoelasticity problems with arbitrary loads and boundary conditions. To surmount the restrictions of the classical beam theories, a 1D FE procedure is proposed in the context of the Carrera Unified Formulation (CUF). Since coupled thermoelastic analyses are computationally demanding, the proposed 1D FE approach can be used as a powerful means to simulate the generalized coupled thermoelastic behavior of structures. This methodology, indeed, reduces the 3D problems to 1D models with 3D-like accuracies and very low computational costs. The Lord-Shulman and the Green-Lindsay models are considered as the generalized theories of thermoelasticity. Furthermore, as simplified cases, the classical coupled, dynamic uncoupled, quasi-static uncoupled and steady-state uncoupled theories of thermoelasticity may be derived from the formulation. Moreover, effects of the structural damping can be taken into account in the present formulation. The accuracy of the formulation has been evaluated through numerical simulations and comparisons, which have been presented in a companion article (Part 2).
机译：开发了一种创新的一维有限元（FE）方法，以分析非均质各向异性材料在耦合和非耦合热弹性中的3D静态，瞬态和动态问题。将Galerkin方法直接应用于控制方程，以获得具有任意载荷和边界条件的热弹性问题的弱公式。为了克服传统波束理论的限制，在Carrera统一公式化（CUF）的背景下提出了一种一维有限元程序。由于耦合热弹性分析的计算要求很高，因此所提出的一维有限元方法可以用作模拟结构的广义耦合热弹性行为的有力手段。实际上，这种方法将3D问题简化为具有类似3D的准确性和非常低的计算成本的1D模型。 Lord-Shulman模型和Green-Lindsay模型被认为是热弹性的广义理论。此外，作为简化情况，可以从公式中得出经典的耦合，动态非耦合，准静态非耦合和稳态非耦合热弹性理论。此外，在本配方中可以考虑结构阻尼的影响。已通过数值模拟和比较对制剂的准确性进行了评估，这已在随附的文章中进行了介绍（第2部分）。

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