Objective: To investigate the effect of voids on propagation plane waves in a generalized thermo-elastic solid. Method: The method harmonic solution is employed to solve basic equations void solids. Findings: Under and non-voids, three sets longitudinal are derived, they not appeared any classical theory elasticity. But one transverse wave derived these results coinciding with Novelty: MATLAB p...

The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular deviatoric section. This too crude an approximation which hinders application into practice, particularly geotechnical domain. An elasto-plastic model for linear formulation here pr...

Department of Engineering Physics, Department of Materials Science University of Wisconsin, 1500 Engineering Drive, Madison, WI 53706-1687, USA preprint adapted from Lakes, R. S., Reduced warp in torsion of reticulated foam due to Cosserat elasticity: experiment, Zeitschrift fuer Angewandte Mathematik und Physik (ZAMP), 67(3), 1-6 (2016). Abstract Warp of cross sections of square section bars i...

Using the infinitesimal theory of elasticity and analytical formulation, displacements and stresses based on the high-order shear deformation theory (HSDT) is presented for axisymmetric thick-walled cylinders made of functionally graded materials under internal and/or external uniform pressure. The material is assumed to be isotropic heterogeneous with constant Poisson’s ratio and radially varyi...

According to Patrick Colm Hogan, in the US academic context, few people in literary theory or comparative literature have much familiarity with non-Western literary theories, and fewer still have research expertise in the field. While working on a project in non-Western literary theory, he was surprised to find that many of his friends and colleagues found it difficult to understand what non-We...

Phase-field modelling has been shown to be a powerful tool for simulating fracture processes and predicting the crack path under complex loading conditions. Note that total energy of in classical phase-field formulations includes strain density from linear elasticity theory resulting singular stresses at tip. Recently, we have demonstrated integrating gradient into conventional may improve fina...