A method for determination of equivalent limit load surface of fiber-reinforced nonlinear composites

Abstract: In this paper, a method for determining the limit load surface of fiber-reinforced nonlinear composites such as elasto-plastic composite is proposed. Using the stress approach of the homogeneous theory and the linear matching method (LMM), the limit load surface of the fiber-reinforced composite is numerically evaluated in the π-plane, and at the same time, two limit analyses determine the approximate Hill's anisotropic yield criterion for the limit load surface of the fiber-reinforced composite. The Hill's yield criterion determined by 2 limit analyses becomes the inscribed ellipse of the limit load surface evaluated numerically in the π- plane, and the limit load surface can be evaluated more accurately by the two tangent lines perpendicular to the minor axis of the inscribed ellipse and the circumscribed circle of the inscribed ellipse. This means that the limit load surface of fiber-reinforced nonlinear composite can be completely determined by only 2 limit analyses. In addition, it is found that the limit load surface is related to the equivalent strength surface of composite, and that it satisfies the Reuss and Voigt bounds.

How to cite this paper

 Ri, J & Hong, H. (2019). A method for determination of equivalent limit load surface of fiber-reinforced nonlinear composites.Engineering Solid Mechanics, 7(1), 71-82.

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