Generalized convolution quadrature based boundary element method for uncoupled thermoelasticity

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Abstract

Mechanical loads together with changing temperature conditions can be found in a wide variety of fields. Their effects on elastic media are reflected in the theory of thermoelasticity. For typical materials in engineering, very often a simplification of this coupled theory can be used, the so-called uncoupled quasistatic thermoelasticity. Therein, the effects of the deformations onto the temperature distribution is neglected and the mechanical inertia effects as well. The Boundary Element Method is used to solve numerically these equations in three dimensions. Since convolution integrals occur in this boundary element formulation, the Convolution Quadrature Method may be applied. However, very often in thermoelasticity the solution shows rapid changes and later on very small changes. Hence, a time discretisation with a variable time step size is preferable. Therefore, here, the so-called generalised Convolution Quadrature is applied, which allows for non-uniform time steps. Numerical results show that the proposed method works. The convergence behavior is, as expected, governed either by the time stepping method or the spatial discretisation, depending on which rate is smaller. Further, it is shown that for some problems the proposed use of the generalised Convolution Quadrature is the preferable.
Original languageEnglish
Article number107234
Number of pages1
JournalMechanical Systems and Signal Processing
Volume150
DOIs
Publication statusPublished - 2021

Keywords

  • Thermoelasticity
  • Generalized convolution quadrature
  • Boundary element method

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Signal Processing
  • Control and Systems Engineering
  • Computer Science Applications
  • Civil and Structural Engineering

Fields of Expertise

  • Information, Communication & Computing

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