Author/Authors :
usal, melek süleyman demirel üniversitesi - teknoloji fakültesi - imalat mühendisliği bölümü, turkey
Abstract :
This paper deals with developing a continuum damage mechanics model belonging to constitutive equations which represent linear electro-thermo-elastic behavior of a composite material, where the material was reinforced with arbitrarily distributed single fiber family and which have micro-cracks. The composite medium is assumed to be dielectric, incompressible, homogeneous, and dependent on temperature gradient. The matrix material made of elastic material involving an artificial anisotropy because of fibers reinforcing by arbitrary distributions and the existence of micro-cracks, has been assumed as an isotropic medium. It is accepted that the fiber family is inextensible. Using the basic laws, of continuum damage mechanics and continuum electrodynamics and the equations belonging to kinematic of fiber, the constitutive functionals have been obtained. It has been detected as a result of the thermodynamic constraints that stress potential function depends on two symmetric tensors and two vectors, and the heat flux vector function depends on two symmetric tensors and three vectors. To determine arguments of the constitutive functionals, findings relating to the theory of invariants have been used as a method because of that isotropy constraint is imposed on the matrix material. Finally, the constitutive equations of symmetric stress, polarization field, asymmetric stress, heat flux vector and strain-energy density release rate have been written in material coordinates.
NaturalLanguageKeyword :
Electro , thermoelastic behavior , Continuum damage mechanics , Constitutive equations , Composite materials , Invariants
