Fractional calculus has been proved to be very effective in representing the visco-elastic relaxation response of materials with memory such as polymers. Moreover, modeling temperature dependency material functions thermo-visco-elasticity, standard time–temperature superposition principle is known ineffective most cases (thermo-rheological complexity). In this work, a novel finite element formu...

The dispersion analysis in a fluid filled and immersed thermo–electro elastic hollow cylinder composed of homogeneous, transversely isotropic material is studied within the frame work of linear theory of elasticity. The motions of the cylinder are formulated using the constitutive equations of a transversely isotropic piezo–thermo elastic material with a preferred material direction collinear w...

Mechanisms of shrinkage and the conditions leading to cracking of drying soils are addressed. An elastic formulation of the hydro-mechanical drying problem is presented. It relies on the analogy which can be drawn between the desiccation process and thermo-elasticity. The validity of the analogy is discussed in the light of finite element simulations of air drying experiments on a rectangular s...

This paper presents a novel Smooth Particle Hydrodynamics computational framework for the simulation of large strain fast solid dynamics in thermo-elasticity. The formulation is based on Total Lagrangian description system first order conservation laws written terms linear momentum, triplet deformation measures (also known as minors gradient tensor) and total energy system, extending thus previ...

In this study an analytical method is developed to obtain the response of electro-magneto-thermo-elastic stress and perturbation of a magnetic field vector for a thick-walled spherical functionally graded piezoelectric material (FGPM). The hollow sphere, which is placed in a uniform magnetic field, is subjected to a temperature gradient, inner and outer pressures and a constant electric potenti...

This study is the first report of numerical solution of nonlinear bending analysis for annular and circular plates based on 3D elasticity theory with asymmetric boundary conditions using semi-analytical polynomial method (SAPM). Orthotropic annular and circular plates are subjected to transverse loading and 3D bending analysis in the presence of symmetric and asymmetric boundary conditions is s...

Elastomers and their composites are widely used in modern innovative technology: for the production of aviation automobile tires, anti-vibration elements (rubber, rubber-metal springs), dampers, elastomeric bearings. Also they shaft suspensions, as spacers between structural parts, supporting parts fasteners. Elastomeric structures have a high dynamic load, particular cyclic nature, which is ac...