A dynamic constitutive model for fiber-reinforced composite under impact loading

Nowadays, conventional materials have been progressively replaced by composite materials in a wide variety of applications. Particularly, fiber reinforced composite laminates are widely used. The appropriate design of elements made of this type of material requires the use of constitutive models capable of estimating their stiffness and strength. A general constitutive model for fiber reinforced laminated composites is presented in this paper. The model is obtained as a generalization of classical mixture theory taking into account the relations among the strains and stresses in the components and the composite in principal symmetry directions of the material. The constitutive equations for the laminated composite result from the combination of lamina constitutive equations that also result from the combination of fibers and matrix. It is assumed that each one of the components are orthotropic and elastoplastic. Basic assumptions of the proposed model and the resulting equations are first presented in the paper. The numerical algorithm developed for the implementation in a three-dimensional (3D) finite element nonlinear program is also described. The paper is completed with application examples and comparison with experimental results. The comparison shows the capacity of the proposed model for the simulation of stiffness and strength of different composite laminates.

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A New Micromechanical Elasto-Plastic Constitutive Model for Fiber-Reinforced Composite Laminates

Materials Science Forum ◽

10.4028/www.scientific.net/msf.654-656.2459 ◽

2010 ◽

Vol 654-656 ◽

pp. 2459-2462 ◽

Cited By ~ 1

Author(s):

Hua Shan Zhang ◽

Yi Xia Zhang

Keyword(s):

Constitutive Model ◽

Composite Laminates ◽

Plastic Material ◽

Material Behavior ◽

Elastic Behavior ◽

Matrix Elements ◽

Fiber Reinforced ◽

Fiber Reinforced Composite ◽

Elastic Plastic ◽

Reinforced Composite

A micromechanical elastic-plastic bridging constitutive model is developed in this paper for accurate representation of material behavior of fiber-reinforced composite laminates. In the bridging constitutive model, elastic behavior is represented by bridging matrix elements and interaction between the average stresses in matrix with those in fibers are included. A transient plastic bridging matrix is developed to describe accurately the elastic-plastic material properties of the fiber reinforced composites, and the effects of the material parameters of matrix and fiber on the bridging matrix elements have been accounted for. The proposed constitutive model is validated against experiment investigation.

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Recent Developments in Boron Fiber-Reinforced Composite Materials

10.33599/nasampe/s.19.1438 ◽

2019 ◽

Author(s):

James Marzik ◽

Thomas Foltz ◽

Chantel Camardese

Keyword(s):

Composite Materials ◽

Fiber Reinforced ◽

Fiber Reinforced Composite ◽

Boron Fiber ◽

Reinforced Composite ◽

Recent Developments

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Mathematical Model of the Effective Properties of a Fiber Reinforced Composite with a Linearly Graded Transition Zone

Tire Science and Technology ◽

10.2346/1.3519536 ◽

2010 ◽

Vol 38 (4) ◽

pp. 286-307

Author(s):

Carey F. Childers

Keyword(s):

Mathematical Model ◽

Transition Zone ◽

Effective Properties ◽

Local Stress ◽

Stress And Strain ◽

Fiber Reinforced ◽

Strain Fields ◽

Shear Moduli ◽

Fiber Reinforced Composite ◽

Reinforced Composite

Abstract Tires are fabricated using single ply fiber reinforced composite materials, which consist of a set of aligned stiff fibers of steel material embedded in a softer matrix of rubber material. The main goal is to develop a mathematical model to determine the local stress and strain fields for this isotropic fiber and matrix separated by a linearly graded transition zone. This model will then yield expressions for the internal stress and strain fields surrounding a single fiber. The fields will be obtained when radial, axial, and shear loads are applied. The composite is then homogenized to determine its effective mechanical properties—elastic moduli, Poisson ratios, and shear moduli. The model allows for analysis of how composites interact in order to design composites which gain full advantage of their properties.

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