THEORY OF THERMO-MICROSTRETCH ELASTIC SOLIDS

Equations of motions, constitutive equations, and boundary conditions are derived for a class of micromorphic elastic solids whose microelements can undergo expansions and contractions or stretch. These solids can have translatory and rotatory motions with spin intertia and therefore can support surface and body tractions and couples, just like micropolar elastic solids. In addition, material points of these solids can stretch and contract independently of their translations and rotatins. This is a continuum model for Bravais lattice with basis. It can also model composite materials reinforced with chopped fibers, porous solids filled with gas or inviscid fluids. Thermodynamical and non-negative strain energy restrictions are studied. Field equations are given and the uniqueness theorem is proved. The theory is illustrated with the solution of one-dimensional waves and compared with lattice dynamical results.