The subject of this paper is the formulation of boundary integral equations for firstand second-order shape sensitivities of boundary elastic fields in three-dimensional bodies. Here the direct differentiation approach is considered. It relies on the repeated application of the material derivative concept to the governing regularized (i.e. weakly singular) displacement boundary integral equatio...

A methodology for estimating the force distribution that occurs along a needle shaft during insertion is described. An experimental system for measuring planar tissue phantom deformation during needle insertions has been developed and is presented. A two-dimensional linear elastostatic material model, discretised using the finite element method, is used to derive contact force information that ...

The exact contact theory is an efficient alternative to the more general yet computationally expensive Finite Element Method for detailed study of elastostatic problems. For its application in conformal problems, needs be fed with influence coefficients (ICs) appropriate non-planar solids. An analytical approximation ICs solids was proposed a previous work, avoiding involved process generally n...

The paper is devoted to theoretical and computational studies on application of the multiresolutional wavelet-based homogenization approach in the Finite Element Method modeling of heterogeneous media. Multiresolutional homogenization scheme is proposed for 1D elastostatic equilibrium problem of periodic heterogeneous medium with Young modulus defined by some elementary wavelet functions and co...