The strong–property–fluctuation theory (SPFT) provides a general framework for estimating the constitutive parameters of a homogenized composite material (HCM). We developed the elastodynamic SPFT for orthotropic HCMs, in order to undertake numerical studies. A specific choice of two–point covariance function — which characterizes the distributional statistics of the generally ellipsoidal parti...

We improve the performance of the Perfectly Matched Layer by using an automatic hp-adaptive discretization. By means of hp-adaptivity, we obtain a sequence of discrete solutions that converges exponentially to the continuum solution. Asymptotically, we thus recover the property of the PML of having a zero reflection coefficient for all angles of incidence and all frequencies on the continuum le...

In this paper we consider classical and variational of fracture dynamic problems with taking into account a contact interaction of the crack edges. An algorithm for the solution of the elastodynamic contact problem with unilateral constrain has been developed. It arises from the boundary variational principle of elastodynamics for bodies with cracks and unilateral constrains on their sides. Som...

In this article, a version of the frequency-domain elastodynamic Fast Multipole-Boundary Element Method (FM-BEM) for semi-infinite media, based on the half-space Green’s tensor (and hence avoiding any discretization of the planar traction-free surface), is presented. The half-space Green’s tensor is often used (in non-multipole form until now) for computing elastic wave propagation in the conte...

This work is devoted to present a scalable domain decomposition method to solve nonlinear elastodynamic problems. Large non linear elastodynamic problems represent an appropriate application field for substructuring methods which are efficient on parallel computer with the proviso of using specific preconditioner techniques well adapted to the mechanical modeling. According to this reason, we d...

Summation-by-parts (SBP) finite difference methods have several desirable properties for second-order wave equations. They combine the computational efficiency of narrow-stencil operators with provable stability on curvilinear multiblock grids. While techniques boundary and interface conditions exist, weak imposition via simultaneous approximation terms (SATs) is perhaps most flexible one. Alth...

Considering the importance of correctly understanding dynamics microstructure materials for their applications in related technologies, by eliminating shortcomings and some overlooked physical concepts existing asymmetric elastic theories, we have presented an elastodynamic model based on a U(1) gauge theory with quantum electrodynamics (QED) structure. Accordingly, shown that there is correspo...