KINEMATIC MODELS OF REFINED THEORIES CONCERNING COMPOSITE BEAMS, PLATES, AND SHELLS

Kinematic models used for construction of energetically consistent the ories of composite beams, plates, and shells were examined. A new repr esentation of the solution of the three-dimensional theory of elastici ty for a transversely isotropic body and concepts for movements in an orthotropic strip, obtained in the form of asymptotic expansions, were used for substantiated selection of correct kinematic models. A compa rative analysis of the consistent theories with other existing version s of applied theories war given bared on solution of rest problems. Th e results of the numerical comparative analysis suggest with a high de gree of certainty that the versions of the refined theories of beams, plates, and shells based on special kinematics and satisfying criteria of consistency are more precise and effective than theorems which do not satisfy these criteria.