Topic
Yeoh
About: Yeoh is a research topic. Over the lifetime, 307 publications have been published within this topic receiving 24923 citations. The topic is also known as: Yeoh family name & Yeoh surname.
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Book•
01 Jan 1949
TL;DR: In this paper, the Elasticity of Long-Chain Molecules (LCHs) and Elasticity in a Molecular Network (MNNs) is investigated. But the authors focus on the elasticity of the long chain Molecules.
Abstract: 1. General Physical Properties of Rubber 2. Internal Energy and Entropy Changes on Deformation 3. The Elasticity of Long-Chain Molecules 4. The Elasticity of a Molecular Network 5Ex5 Experimental Examination of the Statistical Theory 6. Non-Gaussian Chain Statistics and Network Theory 7. Swelling Phenomena 8. Cross-linking and Modulus 9. Photoelastic Properties of Rubbers 10. The General Strain: Phenomenological Theory 11. Alternative Forms of Strain-Energy Function 12. Large-Deformation Theory: Shear and Torsion 13. Thermodynamic Analysis of Gaussian Network
4,242 citations
Book•
01 Jan 1984
TL;DR: In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.
Abstract: non linear elastic deformations iwsun non linear elastic deformations erpd non linear elastic deformations hneun non-linear elastic deformations (dover civil and non-linear elastic deformations of multi-phase fluid systems non linear elastic deformations dover civil and mechanical ogden nonlinear elastic deformations pdf wordpress non-linear, elastic researchgate chapter 6 non linear material models international journal of nonlinear mechanics nonlinear elastic deformations ogden pdfslibforme international journal of non-linear mechanics 1 rubber elasticity: basic concepts and behavior non linear elastic deformations dover civil and mechanical on a non-linear wave equation in elasticity non linear elastic deformations (pdf) by r. w. ogden (ebook) exact formulations of non-linear planar and spatial euler introduction to nonlinear analysis mit opencourseware manual for the calculation of elastic-plastic materials non linear elastic axisymmetric deformation of membranes types of analysis: linear static, linear dynamic and non fracture mechanics, damage and fatigue non linear fracture chapter 2 linear elasticity freie universität the influence of non-linear elastic systems on the a simple geometric model for elastic deformations
3,871 citations
TL;DR: In this paper, it was deduced that the general strain energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H 4 ∑ t=13 (λi2−1 ε)2 + H 4, where the λi's are the principal stretches, G is the modulus of rigidity, and H is a new elastic constant not found in previous theories.
Abstract: It is postulated that (A) the material is isotropic, (B) the volume change and hysteresis are negligible, and (C) the shear is proportional to the traction in simple shear in a plane previously deformed, if at all, only by uniform dilatation or contraction. It is deduced that the general strain‐energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H4 ∑ t=13(λi2−1λi2), where the λi's are the principal stretches (1+principal extension), G is the modulus of rigidity, and H is a new elastic constant not found in previous theories. The differences between the principal stresses are σi[minus]σi=λi∂ W/∂λi[minus]λi∂ W/∂λi.Calculated forces agree closely with experimental data on soft rubber from 400 percent elongation to 50 percent compression.
2,775 citations
TL;DR: In this article, an eight-chain representation of the underlying macromolecular network structure of the rubber and the non-Gaussian behavior of the individual chains in the proposed network is proposed.
Abstract: Aconstitutive model is proposed for the deformation of rubber materials which is shown to represent successfully the response of these materials in uniaxial extension, biaxial extension, uniaxial compression, plane strain compression and pure shear. The developed constitutive relation is based on an eight chain representation of the underlying macromolecular network structure of the rubber and the non-Gaussian behavior of the individual chains in the proposed network. The eight chain model accurately captures the cooperative nature of network deformation while requiring only two material parameters, an initial modulus and a limiting chain extensibility. Since these two parameters are mechanistically linked to the physics of molecular chain orientation involved in the deformation of rubber, the proposed model represents a simple and accurate constitutive model of rubber deformation. The chain extension in this network model reduces to a function of the root-mean-square of the principal applied stretches as a result of effectively sampling eight orientations of principal stretch space. The results of the proposed eight chain model as well as those of several prominent models are compared with experimental data of Treloar (1944, Trans. Faraday Soc. 40, 59) illustrating the superiority, simplicity and predictive ability of the proposed model. Additionally, a new set of experiments which captures the state of deformation dependence of rubber is described and conducted on three rubber materials. The eight chain model is found to model and predict accurately the behavior of the three tested materials further confirming its superiority and effectiveness over earlier models.
2,583 citations
TL;DR: In this article, the correlation of theory and experiment for incompressible isotropic elastic solids under finite strain was extended to incorporate the effects of compressibility (under isothermal conditions) with the result that experimental data on the compressibility of rubberlike materials are adequately accounted for.
Abstract: A method of approach to the correlation of theory and experiment for incompressible isotropic elastic solids under finite strain was developed in a previous paper (Ogden 1972) Here, the results of that work are extended to incorporate the effects of compressibility (under isothermal conditions) The strain-energy function constructed for incompressible materials is augmented by a function of the density ratio with the result that experimental data on the compressibility of rubberlike materials are adequately accounted for At the same time the good fit of the strain-energy function arising in the incompressibility theory to the data in simple tension, pure shear and equibiaxial tension is maintained in the compressible theory without any change in the values of the material constants A full discussion of inequalities which may reasonably be imposed upon the material parameters occurring in the compressible theory is included
2,519 citations