Displacement and temperature discontinuity boundary integral equation and boundary element method for analysis of cracks in three-dimensional isotropic thermoelastic media

Extended Displacement Discontinuity Boundary Integral Equation Method for Analysis of Cracks in Smart Materials

A brief summary of the explicit versions of the GS4 algorithms and designs has been shown via the implicit counterparts. All explicit time integration schemes are second-order time accurate, and various common schemes are also included within the present frameworks. An i Integration Framework (Isochronous Integration Framework) is also described which employs the same framework for integrating ...

A General Boundary-Integral Formulation for Zoned Three-Dimensional Media

A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...

Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method

‎In this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎This problem consists of determining the temperature on the interior boundary curve from the Cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎To this end‎, ‎the boundary integral equation method is used‎. ‎Since the resulting system of linea...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method

‎in this paper‎, ‎we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain‎. ‎this problem consists of determining the temperature on the interior boundary curve from the cauchy data (boundary temperature and heat flux) on the exterior boundary curve‎. ‎to this end‎, ‎the boundary integral equation method is used‎. ‎since the resulting system of linea...