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Unified finite element approach for generalized coupled thermoelastic analysis of 3D beam-type structures, part 1: equations and formulation

Entezari, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/01495739.2017.1336740
  3. Abstract:
  4. 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). © 2017 Taylor & Francis
  5. Keywords:
  6. Beam theories ; Carrera Unified Formulation ; Computation theory ; Elasticity ; Galerkin methods ; Thermoelasticity ; Carrera unified formulations ; Classical beam theory ; Coupled thermoelasticity ; Finite-element approach ; Thermo-elastic behavior ; Thermoelastic analysis ; Uncoupled thermoelasticity ; Finite element method
  7. Source: Journal of Thermal Stresses ; Volume 40, Issue 11 , 2017 , Pages 1386-1401 ; 01495739 (ISSN)
  8. URL: https://www.tandfonline.com/doi/abs/10.1080/01495739.2017.1336740