Boundary integral equation method in thermoelasticity part I: general analysis

A Pure Contour Formulation for the Meshless Local Boundary Integral Equation Method in Thermoelasticity

A new meshless method for solving stationary thermoelastic boundary value problems is proposed in the present paper. The moving least square (MLS) method is used for the approximation of physical quantities in the local boundary integral equations (LBIE). In stationary thermoelasticity, the temperature and displacement fields are uncoupled. In the first step, the temperature field, described by...

The Boundary Integral Equation Method

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...

A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

In this paper the Analog Equation Method (AEM) a boundaryonly method is presented for solving nonlinear static and dynamic problems in continuum mechanics. General bodies are considered, that is bodies whose properties may be position or direction dependent and their response is nonlinear. The nonlinearity may result from both nonlinear constitutive relations (material nonlinearity) and large d...

A General Boundary Integral Equation Approach to Eddy Current Crack

Eddy current techniques have been widely used in the NDE inspection of aircraft engine components. Depending on the flaw characteristics and specimen composition, various EC probe designs have been employed to achieve the maximum probability of detection (POD). Traditionally, the effectiveness of a probe design for a given inspection is determined experimentally. In particular, parameterssuch a...