Initial strain energy-based thermo-elastoviscoplastic two-parameter damage–self-healing models for bituminous composites—Part I: Formulations

2016 ◽  
Vol 25 (8) ◽  
pp. 1082-1102 ◽  
Author(s):  
S Hong ◽  
KY Yuan ◽  
JW Ju
Keyword(s):  
Strain Energy ◽  
Initial Strain ◽  
Self Healing ◽  
Bituminous Composites ◽  
Two Parameter

Finite Axisymmetric Deformations of Initially Cylindrical Reinforced Membranes

1972 ◽  
Vol 45 (6) ◽  
pp. 1677-1683 ◽  
Author(s):  
A. D. Kydoniefs
Keyword(s):  
Stress Field ◽  
Internal Pressure ◽  
Energy Function ◽  
Strain Energy ◽  
Strain Energy Function ◽  
Incompressible Material ◽  
Parameter System ◽  
Axial Section ◽  
Variable Pitch ◽  
Two Parameter

Abstract We consider the axisymmetrie deformations of an initially cylindrical membrane composed of an elastic, homogeneous, isotropic and incompressible material reinforced with a two-parameter system of perfectly flexible and inextensible helicoidal cords of variable pitch. The undeformed configuration is determined so that the deformed membrane has a given axial section under specified internal pressure. The corresponding stress field and cord tensions are obtained. The solution given is exact and valid for the general form of the strain—energy function.

Numerical Study on the Large Deformation of Silicone Rubber Foams Based on Random Cell Models

2011 ◽  
Vol 189-193 ◽  
pp. 2087-2091 ◽  
Author(s):  
Zhi Geng Fan ◽  
Chang Qing Chen ◽  
Wen Jun Hu ◽  
Wei Niu ◽  
Xue Mei Zhang
Keyword(s):  
Large Deformation ◽  
Silicone Rubber ◽  
Strain Energy ◽  
Numerical Study ◽  
Elastic Response ◽  
Cell Models ◽  
Energy Potential ◽  
Linear Elastic ◽  
Uniaxial Compressive Stress ◽  
Two Parameter

Two-dimensional (2D) random cell models composed of circular cells with different sizes are developed to simulate the microstructure of silicone rubber foams. The two-parameter Mooney-Rivlin strain energy potential model is employed to characterize the hyperelasticity of the solid of which the foams are made. Finite element method is used to simulate the large deformation of the foams. Predicted uniaxial compressive stress-strain curves exhibit universally three deformation regions: an initial linear-elastic response, an extended plateau region, and a final densification stage as cell collapsing. It is also found that with the foam relative density increasing, the initial linear-elastic region is found to extended, the buckling plateau section becomes indistinctive, and final densification stage is hastened.

Strain Energy as a Criterion for Stress Softening in Carbon-Black-Filled Vulcanizates

1966 ◽  
Vol 39 (3) ◽  
pp. 597-608 ◽  
Author(s):  
E. M. Dannenberg ◽  
J. J. Brennan
Keyword(s):  
Carbon Black ◽  
Energy Loss ◽  
Natural Rubber ◽  
Strain Energy ◽  
Energy Input ◽  
Strain Curve ◽  
Quantitative Measure ◽  
Initial Strain ◽  
Stress Softening ◽  
Strain Energy Loss

Abstract Stress softening of vulcanizates of SBR 1500 containing different blacks possessing the same “structure” but varying in surface activity, and effects of different black loadings, of black structure levels, and of particle size, were investigated. It was concluded: 1. Strain-energy loss can be used as a quantitative measure of stress softening, and initial strain-energy input as a measure of prestress severity. 2. The effects of carbon black and polymer variables can be normalized in a single general relationship by plotting per cent strain-energy loss as a function of initial strain-energy input for filled vulcanizates. 3. With the exception of natural rubber, gum vulcanizates studied showed no stress softening. The stress softening of natural rubber gum vulcanizates is attributed mainly to stress-crystallization. 4. Stress-softening of filled vulcanizates is not a completely reversible process. Rates of stress recovery are reasonably rapid. 5. The degree of stress softening can be predicted from the initial stress—strain curve, the prestress severity desired, and the general correlation based on strain-energy considerations found in this study. 6. Prestressing reduces abrasion resistance as measured in the laboratory.

scholarly journals A two-parameter strain energy function for brain matter: An extension of the Hencky model to incorporate locking

2021 ◽  
pp. 100036
Author(s):  
Luis Saucedo-Mora ◽  
Olatz García-Bañales ◽  
Francisco Javier Montáns ◽  
José María Benítez
Keyword(s):  
Energy Function ◽  
Strain Energy ◽  
Strain Energy Function ◽  
Two Parameter
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