Transient heat transfer analysis by the boundary integral equation method
Abstract
A description is presented of the first results of an exploratory study concerning an employment of the boundary integral equation method in transient analysis problems. The reported investigation is restricted to the consideration of twodimensional conduction phenomena in classical thermoelasticity problems, taking into account isotropic conduction relations. The quasistatic case is considered, while coupling strain rates are neglected. The integral relation is discussed, taking into account the theory of distribution described by Schwartz (1966), and the utilization of the properties of a convolution product. The expression of kernels and kernel properties are considered along with the boundary integral equation. A description of the numerical treatment is provided, giving attention to questions of general process organization, assumptions for a simplified study, problems of time integration, and aspects of space integration. The described mathematical techniques are employed in an application to structure analysis.
 Publication:

In: New developments in boundary element methods; Proceedings of the Second International Seminar on Recent Advances in Boundary Element Methods
 Pub Date:
 1980
 Bibcode:
 1980ndbe.proc..137D
 Keywords:

 Boundary Integral Method;
 Boundary Value Problems;
 Conductive Heat Transfer;
 Integral Equations;
 Thermoelasticity;
 Transient Response;
 Convolution Integrals;
 Finite Element Method;
 Heat Flux;
 Interpolation;
 Kernel Functions;
 Numerical Integration;
 Structural Analysis;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer