ON A NONLINEAR THEORY OF ELASTIC SHELLS
Technical rept. no. 18; Series 131, Issue 18
CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH
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A nonlinear theory of elastic shells with small deformations whose material response is nonlinear is discussed. The developments are carried out under the Love-Kirchhoff hypothesis. General constitutive equations are derived in which the geometrical properties due to deformation and the material characteristics are separable. Through this separability, it is shown how to extract constitutive equations of predetermined types. Particular examples are followed by a discussion of the membrane theory.