scholarly journals A simple interpolation-based approach towards the development of an accurate phenomenological constitutive relation for isotropic hyperelastic materials

2021 ◽  
pp. 101485
Author(s):  
Shun Meng ◽  
Haroon Imtiaz ◽  
Bin Liu
Keyword(s):  
Constitutive Relation ◽  
Hyperelastic Materials

ENTIRE-REGION CONSTITUTIVE RELATION FOR TRELOAR'S DATA

2021 ◽  
Author(s):  
L. Han ◽  
X. F. Peng ◽  
L. X. Li
Keyword(s):  
Experimental Data ◽  
Constitutive Relation ◽  
Large Deformations ◽  
Constitutive Relations ◽  
Entire Region ◽  
Energy Functions ◽  
Practical Applications ◽  
Hyperelastic Materials ◽  
Present Procedure ◽  
Modeling Theory

ABSTRACT Hyperelastic materials can experience a large deformation process. A constitutive relation suitable for an entire region from small, moderate, to large deformations is of great importance for practical applications such as fracture problems. Treloar's data are first investigated, and the tension curve is divided into three regimes: small-to-moderate regime, strain-hardening regime, and limiting-chain regime. Next, the modeling theory of hyperelastic materials is introduced, and the tensile behaviors of basic energy functions are analyzed for different deformation regimes. Finally, a successive procedure is suggested to establish an entire-region constitutive relation and then applied to Treloar's data. The present constitutive relation can maintain the initial shear modulus while the experimental data are satisfactorily predicted. The present procedure is simple and feasible and hence applicable to other hyperelastic materials when their entire-region constitutive relations are studied based on experimental data.

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials

2012 ◽  
Vol 40 (1) ◽  
pp. 42-58 ◽  
Author(s):  
R. R. M. Ozelo ◽  
P. Sollero ◽  
A. L. A. Costa
Keyword(s):  
Constitutive Model ◽  
Crack Propagation ◽  
Experimental Tests ◽  
Growth Direction ◽  
Propagation Path ◽  
J Integral ◽  
Alternative Technique ◽  
Crack Propagation Path ◽  
Hyperelastic Materials ◽  
Material Constitutive Model

Abstract REFERENCE: R. R. M. Ozelo, P. Sollero, and A. L. A. Costa, “An Alternative Technique to Evaluate Crack Propagation Path in Hyperelastic Materials,” Tire Science and Technology, TSTCA, Vol. 40, No. 1, January–March 2012, pp. 42–58. ABSTRACT: The analysis of crack propagation in tires aims to provide safety and reliable life prediction. Tire materials are usually nonlinear and present a hyperelastic behavior. Therefore, the use of nonlinear fracture mechanics theory and a hyperelastic material constitutive model are necessary. The material constitutive model used in this work is the Mooney–Rivlin. There are many techniques available to evaluate the crack propagation path in linear elastic materials and estimate the growth direction. However, most of these techniques are not applicable to hyperelastic materials. This paper presents an alternative technique for modeling crack propagation in hyperelastic materials, based in the J-Integral, to evaluate the crack path. The J-Integral is an energy-based parameter and is applicable to nonlinear materials. The technique was applied using abaqus software and compared to experimental tests.

Eternal Today

2018 ◽  
Author(s):  
Jenni Myllykoski ◽  
Anniina Rantakari
Keyword(s):  
Real Time ◽  
Constitutive Relation ◽  
Human Agency ◽  
Fundamental Characteristic ◽  
Time Study ◽  
Software Company ◽  
Present Experience ◽  
Managerial Strategy ◽  
Over Time ◽  
Strategy Making

This chapter focuses on temporality in managerial strategy making. It adopts an ‘in-time’ view to examine strategy making as the fluidity of the present experience and draws on a longitudinal, real-time study in a small Finnish software company. It shows five manifestations of ‘in-time’ processuality in strategy making, and identifies a temporality paradox that arises from the engagement of managers with two contradictory times: constructed linear ‘over time’ and experienced, becoming ‘in time’. These findings lead to the re-evaluation of the nature of intention in strategy making, and the authors elaborate the constitutive relation between time as ‘the passage of nature’ and human agency. Consequently, they argue that temporality should not be treated merely as an objective background or a subjective managerial orientation, but as a fundamental characteristic of processuality that defines the dynamics of strategy making.

An octahedral stress-based fracture criterion for hyperelastic materials

2020 ◽  
pp. 095440622097213
Author(s):  
A Hamdi ◽  
A Boulenouar ◽  
N Benseddiq
Keyword(s):  
Pure Shear ◽  
Thermoplastic Elastomer ◽  
Styrene Butadiene Rubber ◽  
Butadiene Rubber ◽  
Principal Stresses ◽  
Hyperelastic Materials ◽  
Biaxial Tests ◽  
Set Up ◽  
Loading Modes ◽  
Styrene Butadiene

No unified stress-based criterion exists, in the literature, for predicting the rupture of hyperelastic materials subjected to mutiaxial loading paths. This paper aims to establish a generalized rupture criterion under plane stress loading for elastomers. First, the experimental set up, at breaking, including various loading modes, is briefly described and commented. It consists of uniaxial tests, biaxial tests and pure shear tests, performed on different rubbers. The used vulcanizate and thermoplastic rubber materials are a Natural Rubber (NR), a Styrene Butadiene Rubber (SBR), a Polyurethane (PU) and a Thermoplastic elastomer (TPE). Then, we have investigated a new theoretical approach, based upon the principal stresses, to establish a failure criterion under quasi-static loadings. Thus, we have proposed a new analytical model expressed as a function of octahedral stresses. Quite good agreement is highlighted when comparing the ultimate stresses, at break, between the experimental data and the prediction of the proposed criteria using our rubber-like materials.

Simulation on hysteresis characteristic of squeeze mode magneto-rheological damper based on non-convex constitutive relation

2021 ◽  
Vol 33 (3) ◽  
pp. 261-271
Author(s):  
Fan Wang ◽  
Zi-Xiang Ying ◽  
Lin-Xiang Wang
Keyword(s):  
Constitutive Relation ◽  
Hysteresis Characteristic ◽  
Magneto Rheological

Bimodulus constitutive relation and mesoscopic model of braided composites

2021 ◽  
pp. 114115
Author(s):  
Lanxin Jiang ◽  
Shoune Xiao ◽  
Bing Yang ◽  
Guangwu Yang ◽  
Tao Zhu ◽  
...  
Keyword(s):  
Constitutive Relation ◽  
Braided Composites ◽  
Mesoscopic Model

Constitutive Relation of Yunjialing Anthracite Under Medium Strain Rate

2007 ◽  
Vol 17 (1) ◽  
pp. 126-132 ◽  
Author(s):  
Wen-jiao GAO ◽  
Ren-liang SHAN ◽  
Gong-cheng WANG ◽  
Rui-qiang CHENG
Keyword(s):  
Strain Rate ◽  
Constitutive Relation ◽  
Medium Strain Rate
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