The Theory of Shells and Plates, Part I: Kinematics and Basic Principles.
CALIFORNIA UNIV BERKELEY DIV OF APPLIED MECHANICS
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The report, the first of two parts, deals chiefly with kinematics and general principles for shells, both by direct approach i.e., via the theory of a Cosserat surface and from the three-dimensional equations of the classical continuum mechanics. Chapter B contains a general development of kinematics of shells and shell-like bodies while Chapter C is concerned with conservation laws, local field equations and thermodynamical aspects of the subject. Although all developments are carried out in the context of the nonlinear theory, various results appropriate to the linearized theory are also discussed. Author