In this contribution, ellipsoidal and hexagonal prism representative volume element (RVE) which characterize the steel fiber reinforced high performance concrete (HPC) along a preferred direction are constructed analyzed numerically. A virtual experiment is simulated using microscopic boundary value problem based on two different RVEs. The suitable mechanical periodic conditions applied each RV...

The conceptualization of a representative volume element (RVE) hardened cement paste for numerical homogenization mechanical problems rests on identifying the largest discernible microstructural feature, i.e. unreacted grains. While particle size distribution (PSD) anhydrous is well-controlled production parameter, evolution grain throughout hydration remained unresolved. This study analyzes di...

Continental lithospheric mantle is heterogeneous in terms of modal and chemical composition. There are fundamental differences between cratonic and younger mantle (Boyd et al., 1997), and non-cratonic mantle has broad compositional variations worldwide (McDonough, 1990). Xenoliths of spinel peridotites in alkali basalts are direct samples of lithospheric mantle but it may not be clear whether a...

A continuum sensitivity method is developed for thermoplasticity combined with ductile damage at finite strains. The computed sensitivity fields are used within a gradient-based optimization framework for the computational design of metal forming processes for porous materials. The accuracy and effectiveness of the developed updated Lagrangian finite element analysis and design techniques are d...

The cancellous bone effective properties relations are analysed on multiscale across two aspects; properties of representative volume element on micro scale and statistical measure of trabecular trajectory orientation on mesoscale. Anisotropy of the microstructure is described across fabric tensor measure with trajectory orientation tensor as bridging scale connection. The scatter measured data...

In this paper, we present parallel simulations of three-dimensional complex flows obtained on an ORIGIN 3800 computer and on homogeneous and heterogeneous (processors of different speeds and RAM) computational grids. The solver under consideration, which is representative of modern numerics used in industrial computational fluid dynamics (CFD) software, is based on a mixed element-volume method...

The boundary-element subregion-by-subregion (BE SBS) algorithm, developed in previous works, is employed to construct global block-diagonal preconditioners for BEM systems of equations. As the BE matrices for each BE subregion are independently assembled and stored, the block-diagonal-based preconditioners for the corresponding BE models are immediately constructed. A Krylov solver is embedded ...

In this paper, we consider the issue of convergence toward entropy solutions for high order finite volume weighted essentially non-oscillatory (WENO) scheme and discontinuous Galerkin (DG) finite element method approximating scalar nonconvex conservation laws. Although such high order nonlinearly stable schemes can usually converge to entropy solutions of convex conservation laws, convergence m...

A homogenization strategy for granular materials is presented and applied to a three-dimensional Discrete Element Method (DEM), that uses superellipsoids as particles. Macroscopic quantities are derived from the microscopic quantities resulting from a DEM simulation by averaging over representative volume elements (RVEs). The implementation of a RVE is described in detail regarding the definiti...