Solid materials exist in a variety of forms in nature, and consequently, experience vastly different conditions. These encountered conditions produce behaviors like hyperelasticity, plasticity, fluid-structure interactions, and thermostructural interactions. Hyperelasticity describes the behavior of materials that exhibit nonlinear stress-strain relationships, often encountered in rubber-like materials. Plasticity involves the permanent deformation of materials beyond their elastic limit, commonly observed in metals subjected to high stress levels. Fluid-structure interactions occur when the motion of a fluid affects the behavior of adjacent solid structures, leading to complex dynamics and phenomena such as flutter or vortex shedding. Thermostructural interactions refer to the coupling between thermal effects and mechanical responses in solids, influencing their behavior under varying temperature conditions.