Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Wrinkling in finite plane-stress theory

Authors: Chien H. Wu and Thomas R. Canfield
Journal: Quart. Appl. Math. 39 (1981), 179-199
MSC: Primary 73B99
DOI: https://doi.org/10.1090/qam/625468
MathSciNet review: 625468
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Abstract: A general and complete formulation is given for the wrinkling phenomenon in the context of finite plane-stress theory. The planar portion of the true three-dimensional displacement field, called the pseudo-displacement field, is used as a basis for the necessary kinematic analysis. It is assumed that the principal directions associated with the pseudo-deformation field are the same as those associated with the true stress field. The true stress field is governed by equilibrium and the assumption that one of the principal stresses vanishes, and hence is statically determinate. The difference between the pseudo-strain and the true strain calculated from the true stress is a new tensor, called the wrinkle-strain tensor, and serves as a measure of the wrinkliness of the surface.

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DOI: https://doi.org/10.1090/qam/625468
Article copyright: © Copyright 1981 American Mathematical Society

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