On the formulation of anisotropic plasticity for polymeric composites‐ rate‐dependent models with non‐linear isotropic/kinematic hardening. Issue 1 (4th September 2019)

• Record Type: Journal Article
• Authors: G Nagaraja, Swaroop; Schuecker, Clara
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-09-04
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900085
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: The use of fiber‐reinforced composites as a primary structural component in automotive and aerospace industries has significantly increased over time, due to their great weight saving potential. Consequently, the predictive modeling of the non‐linear behavior of composites has been a topic of intensive research over the last years. Experimental data shows non‐linear response that is direction dependent due to the fibrous micro‐structure. Since typical fiber materials can be considered essentially as linear elastic, the non‐linearities are attributable to the inelastic deformation in the matrix, occurring at relatively small strains. This study presents a relatively general, homogenized formulation of anisotropic plasticity for application to (mainly) polymeric composites. A constitutive model has been developed to simulate the non‐linearities exhibited by the composite, generating the anisotropic elastic and plastic response functions with the aid of representation theorems. Rate‐independent versions using isotropic hardening have previously been proposed by the authors. The main focus of this work is the extension to include rate dependency and non‐linear kinematic hardening effects. Selected numerical simulations which serve the purpose of illustrating the formulation discussed herein, are presented at the end.