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3D constitutive modeling based on orientational components

CHENG Wei(School of Civil Eng.,Tongji Univ.,Shanghai 200092,China)  
An approach in modeling 3D constitutive relation based on orientational components is investigated.Four kinds of Basic Unit(BU) that meet the most basic 3D deformation effect are introduced into the approach.The components used to fully describe the mechanical characteristics of material at local orientations are derived from the units.The macroscopic stiffness matrix is deduced based on the superposition principle of deformation energy.Then a cross-scale 3D constitutive model is created in which the components and the relevant orientational density functions are used to describe the mechanical characteristics of material at local orientations.Several typical mechanical characters of material in classical elasticity theory are strictly defined.The study indicates that these definitions are consistent with classical elasticity theory.
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