Thermo-hyperelastic problems at finite strains belong to a category of non-linear coupled problems that impose challenges on their numerical treatment. We present the weak-form for a 1-D coupled, stationary, thermo-hyperelastic system with constant or temperature-dependent material properties. The coupled system is discretized by a ‘monolithic’ high-order finite element method (p-FEM) based on ...

Abstract The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional methods. In this paper, we apply the variational principle/weighted residual method based on operator elasticity, thin plate, gradient electro-magneto-elasticity and phase-field fracture method. governing equations are expressed as an integral form support dual-support. first example sh...

In some circumstances, elastic-plastic deformation occurs in which both components of strain are finite. Such situations fall outside the scope of classical plasticity theory which assumes either infinitesimal strains or plastic-rigid theory for large strains. The present theory modifies the kinematics to include finite elastic and plastic strain components. For situations requiring this genera...

The study of deformations in dynamically and thermally loaded elastic solids has important applications in engineering. A wide literature exists on the numerical solution of dynamic thermo-elasticity problems via finite element methods (FEM). These methods include Laplace-transform FEMs and semi-discrete methods, whereby finite elements are used in space and finite differences are used in time....

In this chapter, we apply the variational principle/weighted residual method based on nonlocal operator for derivation of forms elasticity, thin plate, gradient electro–magneto-elasticity and phase field fracture method. The governing equations are expressed as integral support dual-support. first example shows that elasticity has same form dual-horizon non-ordinary state-based peridynamics. is...

We develop a magneto-elastic (ME) coupling model for the interaction between the vortex lattice and crystal elasticity. The theory extends the Kogan-Clem’s anisotropic Ginzburg-Landau (GL) model to include the elasticity effect. The anisotropies in superconductivity and elasticity are simultaneously considered in the GL theory frame. We compare the field and angular dependences of the magnetiza...

Continued emphasis on development of thermal cooling systems is being placed that can cycle low grade heat. Examples include solar powered unmanned aerial vehicles (UAVs) and data storage servers. The power efficiency of solar module degrades at elevated temperature, thereby, necessitating the need for heat extraction system. Similarly, data centres in wireless computing system are facing incre...