A model for hyperelastic materials reinforced with fibers resistance to extension and flexure. (1st June 2020)

• Record Type: Journal Article
• Authors: Islam, Suprabha; Zhalmuratova, Dinara; Chung, Hyun-Joong; Kim, Chun IL
• Is Part Of: International journal of solids and structures. Volume 193/194(2020)
• Page Start: 418
• Page End: 433
• Publication Date: 2020-06-01
• Subjects: Finite plane deformations -- Soft hyperelastic material -- J-shaped stress-strain response -- Elastomeric composites -- Strain gradient theory; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2020.02.036
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: A model for the mechanics of a soft hyperelastic material reinforced with long fibers is presented in finite plane elastostatics. The strain energy potential of the composite is refined by the Mooney Rivlin model to accommodate the hyperelastic behaviors of the matrix material. Within the framework of the strain gradient theory, the kinematics of the fibers is formulated and subsequently integrated into the model of continuum deformation. A rigorous derivation of the Euler equation and the associated boundary conditions are presented by virtue of variational principles and a virtual work statement. In particular, the obtained model successfully predicts the 'J-shaped' stress-strain responses, deformation profiles and shear strain angles of the elastomer - polyester fiber composites subjected to uniaxial extension. The proposed model may also serve as an alternative of the Holzapfel model in the design and analysis of biomimetic composites with rapid strain-stiffening behaviors by providing direct estimations of the stress-strain responses of intended composites.