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...

Designing and constructing underground structures for various purposes, such as tunnels, mines, mine workings, necessitate the development of procedures calculating their strength reliability. The physical model objects worth considering is a homogeneous isotropic half-space that contains an infinitely long hollow cylinder, located parallel to its border. One can explore problems related mechan...

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...