Nonlinear Elastic Behaviour of Bushveld Rock

2008 ◽  
Author(s):  
Jan Kuijpers ◽  
Bryan Watson ◽  
G Henry
Keyword(s):  
Elastic Behaviour ◽  
Nonlinear Elastic

scholarly journals Black rubber and the non-linear elastic response of scale invariant solids

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Matteo Baggioli ◽  
Víctor Cáncer Castillo ◽  
Oriol Pujolàs
Keyword(s):  
Strain Curve ◽  
Effective Field ◽  
Elastic Response ◽  
Elastic Behaviour ◽  
Scale Invariant ◽  
Stress Strain ◽  
Nonlinear Stress ◽  
Hyper Elastic ◽  
Simple Class ◽  
Nonlinear Elastic

Abstract We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry. In the latter case, one can employ effective field theory methods, whereas in the former we use holographic methods. We focus on a simple class of holographic models that exhibit elastic behaviour, and obtain their nonlinear stress-strain curves as well as an estimate of the elasticity bounds — the maximum possible deformation in the elastic (reversible) regime. The bounds differ substantially in the manifest or spontaneously broken SI cases, even when the same stress- strain curve is assumed in both cases. Additionally, the hyper-elastic subset of models (that allow for large deformations) is found to have stress-strain curves akin to natural rubber. The holographic instances in this category, which we dub black rubber, display richer stress- strain curves — with two different power-law regimes at different magnitudes of the strain.

scholarly journals Strain-dependent twist–stretch elasticity in chiral filaments

2007 ◽  
Vol 5 (20) ◽  
pp. 303-310 ◽  
Author(s):  
M Upmanyu ◽  
H.L Wang ◽  
H.Y Liang ◽  
R Mahajan
Keyword(s):  
Degrees Of Freedom ◽  
Single Walled Carbon Nanotubes ◽  
Design Principles ◽  
Elastic Behaviour ◽  
Large Strains ◽  
Theoretical Frameworks ◽  
Nonlinear Elastic ◽  
Walled Carbon Nanotubes ◽  
Strain Dependent ◽  
Microscopic Origin

Coupling between axial and torsional degrees of freedom often modifies the conformation and expression of natural and synthetic filamentous aggregates. Recent studies on chiral single-walled carbon nanotubes and B-DNA reveal a reversal in the sign of the twist–stretch coupling at large strains. The similarity in the response in these two distinct supramolecular assemblies and at high strains suggests a fundamental, chirality-dependent nonlinear elastic behaviour. Here we seek the link between the microscopic origin of the nonlinearities and the effective twist–stretch coupling using energy-based theoretical frameworks and model simulations. Our analysis reveals a sensitive interplay between the deformation energetics and the sign of the coupling, highlighting robust design principles that determine both the sign and extent of these couplings. These design principles have already been exploited by nature to dynamically engineer such couplings, and have broad implications in mechanically coupled actuation, propulsion and transport in biology and technology.

Passive nonlinear elastic behaviour of skeletal muscle: Experimental results and model formulation

2010 ◽  
Vol 43 (2) ◽  
pp. 318-325 ◽  
Author(s):  
B. Calvo ◽  
A. Ramírez ◽  
A. Alonso ◽  
J. Grasa ◽  
F. Soteras ◽  
...  
Keyword(s):  
Skeletal Muscle ◽  
Experimental Results ◽  
Elastic Behaviour ◽  
Model Formulation ◽  
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.

scholarly journals Transitional nonlinear elastic behaviour in dense granular media

2008 ◽  
Vol 35 (19) ◽  
Author(s):  
Thomas Brunet ◽  
Xiaoping Jia ◽  
Paul A. Johnson
Keyword(s):  
Granular Media ◽  
Elastic Behaviour ◽  
Nonlinear Elastic

scholarly journals Numerical simulation of bitumen emulsion-stabilised base course mixtures with C&D waste aggregates considering nonlinear elastic behaviour

2020 ◽  
Vol 249 ◽  
pp. 118696
Author(s):  
Ignacio Pérez ◽  
Luis Medina ◽  
Breixo Gómez-Meijide ◽  
Pedro Alves Costa ◽  
Antonio Silva Cardoso
Keyword(s):  
Numerical Simulation ◽  
Elastic Behaviour ◽  
Bitumen Emulsion ◽  
Base Course ◽  
Nonlinear Elastic

scholarly journals Analysis of the Nonlinear Elastic Response of Rubber Membrane with Embedded Circular Rigid Inclusion

2015 ◽  
Vol 45 (3) ◽  
pp. 23-36 ◽  
Author(s):  
Sang Jianbing ◽  
Xing Sufang ◽  
Wang Ling ◽  
Wang Jingyuan ◽  
Zhou Jing
Keyword(s):  
Rigid Inclusion ◽  
Strain Energy Function ◽  
Elastic Response ◽  
Elastic Behaviour ◽  
Elasticity Analysis ◽  
Rubber Membrane ◽  
Circular Rigid Inclusion ◽  
Incompressible Materials ◽  
Nonlinear Elastic ◽  
Constitutive Parameters

AbstractRubber membranes exhibit a particular nonlinear elastic behaviour known as hyper elasticity. Analysis has been proposed by utilizing the modified strain energy function from Gao’s constitutive model, in order to reveal the mechanical property of rubber membrane containing circular rigid inclusion. Rubber membrane is taken into incompressible materials under axisymmetric stretch, based on finite deformations theory. Stress distribution of different constitutive parameters has been analyzed by deducing the basic governing equation. The effects on membrane deformation by different parameters and the failure reasons of rubber membrane have been discussed, which provides reasonable reference for the design of rubber membrane.

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