Application of boundary element method to 3-D problems of coupled thermoelasticity

Tanaka, Michihiko; Matsumoto, Toshiro; Moradi, Morteza

doi:10.1016/0955-7997(95)00074-7

Cited by 31 publications

(18 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A Laplace transform is also applied to Equations (4)- (7). A boundary integral formulation of the transformed equations is developed in a similar fashion to conventional steady-state elasticity [20; 21], by applying the divergence theorem, using Green's solutions as weighing functions and re-arranging the equations…”

Section: Transient Uncoupled Thermo-elasticity By Bemmentioning

confidence: 99%

See 1 more Smart Citation

A three‐dimensional boundary element/Laplace transform solution of uncoupled transient thermo‐elasticity in non‐homogeneous rock media

El‐Zein

2001

Commun. Numer. Meth. Engng.

View full text Add to dashboard Cite

show abstract

Section: Transient Uncoupled Thermo-elasticity By Bemmentioning

confidence: 99%

“…Boundary element solutions of transient thermoelasticity in 2D and 3D are widely documented in the literature [3][4][5][6][7]. The solutions have been usually based on a time-stepping technique.…”

Section: Introductionmentioning

confidence: 99%

A three‐dimensional boundary element/Laplace transform solution of uncoupled transient thermo‐elasticity in non‐homogeneous rock media

El‐Zein

2001

Commun. Numer. Meth. Engng.

View full text Add to dashboard Cite

show abstract

“…Later, in [6,7] formulations were derived for uncoupled quasi-static thermoelasticity and for coupled thermoelasticity and consolidation theory. In [32], different BEM formulations were compared for transient thermoelastic analyses, and a unified approach for the dynamic coupled poroelasticity and thermoelasticity with relaxation times was presented in [5].…”

mentioning

confidence: 99%

A boundary element method for anisotropic coupled thermoelasticity

Kögl

Gaul

2003

Archive of Applied Mechanics (Ingenieur Archiv)

View full text Add to dashboard Cite

A boundary element formulation is presented for the solution of the equations of fully coupled thermoelasticity for materials of arbitrary degree of anisotropy. By employing the fundamental solutions of anisotropic elastostatics and stationary heat conduction, a system of equations with time-independent matrices is obtained. Since the fundamental solutions are uncoupled and time-independent, a domain integral remains in the representation formula which contains the time-dependence as well as the thermoelastic coupling. This domain integral is transformed to the boundary by means of the dual reciprocity method. By taking this approach, the use of dynamic fundamental solutions is avoided, which enables an efficient calculation of system matrices. In addition, the solution of transient processes as well as, free and forced vibration analysis becomes straightforward and can be carried out with standard time-stepping schemes and eigensystem solvers. Another important advantage of the present formulation is its versatility, since it includes a number of simplified thermoelastic theories, viz. the theory of thermal stresses, coupled and uncoupled quasi-static thermoelasticity, and stationary thermoelasticity. The accuracy of the new thermoelastic boundary element method is demonstrated by a number of example problems.

show abstract

“…We use the BEM11),12),13), 14) for the macroanalysis since it can easily handle open bound- ary conditions and requires smaller amount of memories; see Table 1. While the fast Fourier transform method is used and frequency domain problems are solved, the numerical computation is still huge as a large-scale discretization is needed.…”

Section: Numerical Experimentsmentioning

confidence: 99%