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). | A method for determination of equivalent limit load surface of fiber-reinforced nonlinear composites Engineering Solid Mechanics 7 2019 71-82 Contents lists available at GrowingScience Engineering Solid Mechanics homepage esm A method for determination of equivalent limit load surface of fiber-reinforced nonlinear composites Jun-Hyok Ria and Hyon-Sik Honga a Institute of Mechanics State Academy of Sciences Pyongyang DPR of Korea A R T I C L EI N F O ABSTRACT Article history In this paper a method for determining the limit load surface of fiber-reinforced nonlinear Received 10 July 2018 composites such as elasto-plastic composite is proposed. Using the stress approach of the Accepted 8 October 2018 homogeneous theory and the linear matching method LMM the limit load surface of the fiber- Available online reinforced composite is numerically evaluated in the π- plane and at the same time two limit 14 October 2018 Keywords analyses determine the approximate Hill s anisotropic yield criterion for the limit load surface of Nonlinear homogenization the fiber-reinforced composite. The Hill s yield criterion determined by 2 limit analyses becomes RVE the inscribed ellipse of the limit load surface evaluated numerically in the π- plane and the limit LMM load surface can be evaluated more accurately by the two tangent lines perpendicular to the minor Limit analysis axis of the inscribed ellipse and the circumscribed circle of the inscribed ellipse. This means that Macroscopic yield surface 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. 2019 Growing Science Ltd. All rights reserved. 1. Introduction It is well known that composites are extremely flexible in their application and are now increasingly used in the aerospace .
