Research Article
Aug 1972
Yielding of Fiber Reinforced Tresca Material
Authors: John D. Helfinstine and Richard H. LanceAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 98, Issue 4
Abstract
A plane stress theory of plastic failure of a composite material is formulated by considering how the plastic failure surface of the matrix is altered by the addition of an array of parallel fibers. The matrix is assumed to obey the classical Tresca maximum shear stress yield criterion. The fibers are assumed to be infinitesimally thin and perfectly rigid. The fiber-matrix bond is such that a principal effect of the fibers is to restrict the plastic flow of the matrix in such a way that no extentional plastic strain increments in the direction of the fibers may occur. The limit stresses of a unidirectionally reinforced sheet are discussed and compared to results if the composite has a matrix which obeys the von Mises yield criterion. The limit stresses of laminates depend upon the bond between the laminae. Upper and lower bounds are obtained for two-ply laminate yield stresses.
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Published In
Journal of the Engineering Mechanics Division
Volume 98 • Issue 4 • August 1972
Pages: 849 - 866
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Aug 1972
Published online: Feb 3, 2021
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Authors
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John D. Helfinstine
Research Engr, Advanced Technol. Ctr., Inc., Dallas, Tex.
Richard H. Lance
Assoc. Prof. of Mechanics, Dept. of Theoretical and Applied Mechanics, Cornell Univ., Ithaca, N.Y.
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