scholarly journals On the objectivity of the nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites

2021 ◽  
Vol 127 (1) ◽  
Author(s):  
Shuguang Li ◽  
Mingming Xu ◽  
Shibo Yan ◽  
Elena Sitnikova
Keyword(s):  
Shear Stress ◽  
Stress Conditions ◽  
Reinforced Composites ◽  
Stress Strain ◽  
Consistent Manner ◽  
Strain Relationship ◽  
Complementary Strain ◽  
Stress States ◽  
New Formulation ◽  
Fibre Reinforced Composites

AbstractThe nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites has been investigated in this paper aiming at its applications in general 3D stress conditions in a consistent manner. So far, such relationship has only been addressed in plane stress conditions. In this paper, it has been shown that its straightforward generalisation to 3D stress states lacks objectivity, which is a basic requirement for all theoretical studies of physical problems. A new formulation is proposed based on the stress invariants and the complementary strain energy guided by the rational theoretical framework of nonlinear elasticity. A consistent and objective stress–strain relationship has been obtained and verified through an example of application to a torsion problem.

Model for predicting the variation of shear stress in unsaturated soils during strain-softening

2020 ◽  
Author(s):  
Xiuhan Yang ◽  
Sai Vanapalli
Keyword(s):  
Shear Stress ◽  
Large Deformation ◽  
Unsaturated Soils ◽  
Strain Softening ◽  
Strain Curve ◽  
Published Data ◽  
Stress Strain Curve ◽  
Stress Strain ◽  
Strain Relationship ◽  
State Stress

Several of the geotechnical structures constructed with unsaturated soils undergo a large deformation prior to reaching failure conditions (e.g. progressive failure of a soil slope). During this process, the shear stress in soils typically increases initially and then reduces with an increase in the shear strain. The prediction of the stress-strain relationship is critical for reasonable interpretation of the mechanical behavior of those geo-structures that undergo large deformation. This paper introduces a model based on the disturbed state concept (DSC) to predict the variation of shear stress in unsaturated soils during strain-softening process under consolidated drained triaxial compression condition. In this model, the apparent stress-strain relationship is formulated as a weighted average of a hyperbolic hardening response extending the pre-peak state stress-strain curve and a linear response extending the critical state stress-strain curve with an assumed disturbance function as the weight. The prediction procedure is described in detail and the proposed model is validated using several sets of published data on unsaturated soils varying from coarse- to fine-grained soils. Finally, a comprehensive error analysis is undertaken based on an index of agreement approach.

612 Effects of Strain Rates on Stress-Strain Behavior of Adhesive Layer under Pure Shear Stress Conditions

2000 ◽  
Vol 2000.8 (0) ◽  
pp. 203-204
Author(s):  
Akinori FUJINAMI ◽  
Katsuhiko OSAKA ◽  
Takao WADA ◽  
Takehito FUKUDA ◽  
Makoto IMANAKA
Keyword(s):  
Shear Stress ◽  
Pure Shear ◽  
Adhesive Layer ◽  
Stress Conditions ◽  
Strain Rates ◽  
Stress Strain ◽  
Strain Behavior
Sign in / Sign up

Export Citation Format

Share Document