Journal ArticleDOI
On an analogy between plane strain and plate bending solutions in rigid/perfect plasticity theory
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In this paper, the theory underlying Johnson's recent analogy between upper bound solutions for rigid/perfectly-plastic materials in plane strain and in plate bending theory is extended to lower bound and complete solutions.About:
This article is published in International Journal of Solids and Structures.The article was published on 1971-08-01. It has received 14 citations till now. The article focuses on the topics: Bending of plates & Plate theory.read more
Citations
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Journal ArticleDOI
Limit Analysis for Plates: The Exact Solution for a Clamped Square Plate of Isotropic Homogeneous Material Obeying the Square Yield Criterion and Loaded by Uniform Pressure
TL;DR: In this article, the exact solution for the problem of a uniformly distributed load on a clamped square plate of isotropic homogeneous material obeying the square yield criterion in bending is presented.
Journal ArticleDOI
The static–geometric analogy in the equations of thin shell structures
TL;DR: In this paper, the authors give an explanation for the analogy, within the framework of shallow-shell theory, facilitated by two innovations: separation of the shell surface conceptually into separate stretching (S) and bending (B) surfaces; and use of change of Gaussian curvature as a prime variable.
Book ChapterDOI
Boundary Value Problems in Plane Strain Plasticity
TL;DR: A survey of slipline field theory techniques for solving boundary value problems for rigid/plastic solids undergoing plane strain deformations can be found in this paper, where the problems involved in trying to include strain hardening in the analyses are discussed.
Journal ArticleDOI
On the theory of rigid/perfectly plastic plates under uniformly distributed loads
TL;DR: In this paper, the theory of rigid/perfectly plastic plates satisfying the "square" or "Johansen" yield criterion is examined, and a general numerical procedure for constructing the characteristic networks is developed and used to derive new incomplete solutions for square and rectangular plates.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.