Nonlinear elastic finite deformation of flexible composites

1992 ◽  
pp. 474-525
Keyword(s):  
Finite Deformation ◽  
Flexible Composites ◽  
Nonlinear Elastic

Finite deformation of flexible composites

1990 ◽  
Vol 429 (1877) ◽  
pp. 569-586 ◽  
Keyword(s):  
Finite Deformation ◽  
Constitutive Relations ◽  
Elastic Behaviour ◽  
Flexible Composites ◽  
Lagrangian Strain ◽  
Strain Components ◽  
Nonlinear Elastic ◽  
Fourth Order Polynomial ◽  
Theory And Experiments ◽  
Good Agreement

This paper examines the nonlinear elastic behaviour of flexible composites under finite deformation. The constitutive relations have been derived based on a strain-energy density which, in a fourth-order polynomial form, is assumed to be a function of the lagrangian strain components referring to the initial principal material coordinates. The constitutive equations thus obtained are verified by the following experiments: (1) off-axis tension and simple shear for unidirectional composites, and (2) uniaxial tension for flexible composites with wavy fibres. Good agreement has been found between the theory and experiments.

Effect of Fiber Waviness on the Nonlinear Elastic Behavior of Flexible Composites

1988 ◽  
Vol 22 (11) ◽  
pp. 1004-1025 ◽  
Author(s):  
Chen-Ming Kuo ◽  
Kiyohisa Takahashi ◽  
Tsu-Wei Chou
Keyword(s):  
Elastic Behavior ◽  
Fiber Waviness ◽  
Flexible Composites ◽  
Nonlinear Elastic

Finite Deformation and Nonlinear Elastic Behavior of Flexible Composites

1988 ◽  
Vol 55 (1) ◽  
pp. 149-155 ◽  
Author(s):  
Shen-Yi Luo ◽  
Tsu-Wei Chou
Keyword(s):  
Present Theory ◽  
Elastic Behavior ◽  
Stress Strain ◽  
Flexible Composites ◽  
Elastomeric Matrix ◽  
Eulerian Description ◽  
Stress Strain Relation ◽  
Nonlinear Stress ◽  
Material Nonlinear ◽  
Nonlinear Elastic

The flexible composites discussed in this paper are composed of continuous fibers in an elastomeric matrix. The usable range of deformation of these composites is much larger than that of conventional rigid composites. Due to the material as well as geometric factors, the stress-strain relations for these composites are generally nonlinear under finite deformations. A constitutive model has been developed based upon the Eulerian description. The material nonlinear stress-strain relation is derived by using the stress energy density referring to the deformed volume. The stretching-shear coupling and the effects of the in-plane reorientation of fibers are also considered in the theoretical analysis. Comparisons are made between predictions of the present theory and experimental data for tirecord/rubber and Kevlar/silicone-elastomer flexible composite laminae; very good correlations have been found.

Effective Elastic Properties of Porous Materials With Randomly Dispersed Pores: Finite Deformation

2000 ◽  
Vol 67 (4) ◽  
pp. 667-670 ◽  
Author(s):  
V. A. Levin ◽  
V. V. Lokhin ◽  
K. M. Zingerman
Keyword(s):  
Finite Deformation ◽  
Constitutive Equations ◽  
Effective Properties ◽  
Matrix Material ◽  
Finite Deformations ◽  
Cylindrical Shape ◽  
Ensemble Averaging ◽  
Elastic Materials ◽  
The Matrix ◽  
Nonlinear Elastic

A method is developed for the analysis of the effective properties of porous nonlinear elastic materials with randomly distributed interacting pores under finite deformations. The method is based on the solution of the problems of nonlinear elasticity for a representative region using Signorini’s expansion. The constitutive equations for the matrix material and for the comparison material are written in a form corresponding to Murnaghan’s potential. The technique, which is used for ensemble averaging, approximately simulates the uniform distribution of pores. The computations are performed for plane strain, when pores are equal in size, and a circular cylindrical shape in the undeformed state is assumed. [S0021-8936(00)01802-X]

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