First-order homogenization generally becomes inaccurate for materials with a weak scale separation between characteristic lengths of the heterogeneities and structural problem. It is also unable to provide correct solution in vicinity boundaries due loss periodicity these regions. In this article, we demonstrate effectiveness higher-order homogenization, up third-order, estimating correctly het...

Effect of Cracks on Elastic Properties of Low Porosity Rocks by Terrence Patrick Todd Submitted to the Department of Earth and Planetary Sciences on May 1, 1973, in partial fulfillment of the requirements for the degree of Doctor of Philosophy Microcracks in terrestrial and lunar rocks significantly alter elastic, thermal, and mechanical properties. The degree to which microcracks alter physica...

Recent advances in imaging techniques have revealed the presence of rich elastic textures in functional materials such as colossal magnetoresistive sCMRd manganites,1,2 ferroelectrics,3 ferroelastics,4 and shape memory alloys.5 In particular, experiments on certain perovskite manganite compounds2 have shown the correlation between electronic transport properties and the presence of meandering a...

Elastic boundary conditions play an important role in the buckling analysis of cylinders under compressive loading. These structures are used widely aerospace applications and highly sensitive to geometrical, material, loading, imperfections. In fact, presence these imperfections can lead catastrophic failure. 1968, NASA reported relations for obtaining Knockdown Factor (KDF) based on empirical...

Abstract Hydrogen-grain-boundaries interactions and their role in intergranular fracture are well accepted as one of the key features understanding hydrogen embrittlement a large variety common engineer situations. These implicate some fundamental processes classified segregation, trapping diffusion solute which can be studied function grain boundary configuration. In present study, we carried ...

Abstract Consistent transmitting boundaries for time‐domain analyses of scalar‐ and elastic‐wave propagation in horizontally layered anisotropic or transversely isotropic waveguides are developed. Governing equations corresponding consistent nodal forces derived scalar elastic waves which finite‐element discretization is considered the vertical layering direction. Auxiliary variables horizontal...

in the current paper, finite element method is employed for numerical simulations and the study of influential parameters on elastic modulus of polymer-matrix nano-composites. effects of different key parameters including particle elastic modulus, interphase elastic modulus, matrix elastic modulus, interphase thickness and particle volume fraction on total elastic modulus of nano-composite mate...

A method is proposed for accurately describing arbitrary-shaped free boundaries in finitedifference schemes for elastodynamics, in a time-domain velocity-stress framework. The basic idea is as follows: fictitious values of the solution are built in vacuum, and injected into the numerical integration scheme near boundaries. The most original feature of this method is the way in which these ficti...

A second-order accurate interface tracking method for the solution of incompressible Stokes flow problems with moving interfaces on a uniform Cartesian grid is presented. The interface may consist of an elastic boundary immersed in the fluid or an interface between two different fluids. The interface is represented by a cubic spline along which the singularly supported elastic or surface tensio...