時間ステップ境界要素法による二次元非定常熱弾性解析 : 連成項を考慮した場合

概要

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This paper is concerned with a new boundary element approach based on the time-stepping scheme for two-dimensional thermoelasticity in unsteady heat conduction. Coupling between the temperature and displacement fields is considered in the context of a quasi-static transient state. The time derivative in the differential equations is approximated by the time-stepping scheme. The reduced differential equations are transformed into a set of boundary integral equations using the exact fundamental solutions, which can be derived by the Hormander method. The standard boundary element method is applied to obtain numerical solutions at each time step. Computation begins in the initial state, and advances in turn by a time-marching procedure until the final state is realized. The mathematical formulation is presented in detail. The proposed solution procedure is applied to an example problem to show its usefulness.
一般社団法人日本機械学会の論文
1993-11-25