Journal of Theoretical
and Applied Mechanics
46, 1, pp. 3-20, Warsaw 2008
and Applied Mechanics
46, 1, pp. 3-20, Warsaw 2008
Coupled and uncoupled constitutive equations of linear elasticity and viscoelasticity of orthotropic materials
The study concerns the linear elastic and viscoelastic constitutive modelling of homogeneous orthotropic solid bodies. The considerations are based on well-known coupled standard/inverse constitutive equations of elasticity. The author has derived new uncoupled standard/inverse constitutive equations of elasticity, new uncoupled standard/inverse constitutive equations of viscoelasticity, and new coupled standard/inverse constitutive equations of viscoelasticity of orthotropic materials. A homogeneous orthotropic material is described by 9 elastic and 18 viscoelastic constants, clearly interpreted physically. Simpler materials, i.e. monotropic and isotropic solid bodies, are also considered. In addition, the separation of shear and bulk strains in the uncoupled constitutive equations of elasticity has been examined numerically for exemplary materials.
Keywords: solid body; orthotropy; constitutive modelling; elastic properties; viscoelastic properties