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Strain-Temperature and Strain-Entropy Internal Constraints in Finite Thermoelasticity 有限热弹性的应变-温度和应变-熵内约束
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0935
J. Casey
{"title":"Strain-Temperature and Strain-Entropy Internal Constraints in Finite Thermoelasticity","authors":"J. Casey","doi":"10.1115/imece1999-0935","DOIUrl":"https://doi.org/10.1115/imece1999-0935","url":null,"abstract":"\u0000 Starting out with the set of unconstrained thermoelastic materials, appropriate equivalence relations are introduced as a means towards defining internally constrained materials. The construction is first carried out in strain-temperature space, and subsequently in strain-entropy space. The question of the interrelationships between the two types of constraints is examined.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"166 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134208235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the Determination of Entropy From a Scalar Potential for Special Inelastic Materials 用标量势确定特殊非弹性材料的熵
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0939
G. Johnson, A. Imam
{"title":"On the Determination of Entropy From a Scalar Potential for Special Inelastic Materials","authors":"G. Johnson, A. Imam","doi":"10.1115/imece1999-0939","DOIUrl":"https://doi.org/10.1115/imece1999-0939","url":null,"abstract":"\u0000 A known version of the second law of thermodynamics embodying the notion of dissipation is employed to obtain restrictions among constitutive response functions for two classes of inelastic bodies. It is shown that for such bodies the entropy function can be determined once the constitutive relation for the Helmholtz free energy function is specified. In addition the internal energy function is shown to depend exclusively on the temperature and the deformation gradient.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126548336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Prediction of the Initial Crack Tip Microstructure in a Single Crystal of CuAlNi CuAlNi单晶初始裂纹尖端组织的预测
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0934
G. M. Vasko, P. Leo, T. Shield
{"title":"Prediction of the Initial Crack Tip Microstructure in a Single Crystal of CuAlNi","authors":"G. M. Vasko, P. Leo, T. Shield","doi":"10.1115/imece1999-0934","DOIUrl":"https://doi.org/10.1115/imece1999-0934","url":null,"abstract":"\u0000 The austenite to martensite pseudoelastic transformation induced by the anisotropic elastic crack tip stress field in a single crystal of shape memory alloy is considered. It is proposed that the orientation of the initial austenite-martensite interface that forms can be predicted based on knowledge of the stress field, the crystallography of the transformation and one of two selection criteria. These criteria are based on the work of formation of the martensite in stress field and the crack opening displacement the martensite causes at the crack. Predictions of the criteria are compared to experiments on three single edge notched CuAlNi single crystal specimens. Results indicate that the maximum work criterion accurately predicts the orientation of the austenite-martensite interfaces that initially form near a crack.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133566621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of Elastic Half-Spaces by an Energy Method 用能量法研究弹性半空间的稳定性
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0941
Yi-chao Chen, L. Wheeler
{"title":"Stability of Elastic Half-Spaces by an Energy Method","authors":"Yi-chao Chen, L. Wheeler","doi":"10.1115/imece1999-0941","DOIUrl":"https://doi.org/10.1115/imece1999-0941","url":null,"abstract":"\u0000 An energy stability criterion is used to study the stability of deformations of a compressible elastic half-space. A minimization problem is formulated in an unbounded domain, and the first and second variation conditions are derived for this problem. Algebraic stability conditions are derived for general compressible isotropic materials, as well as for neo-Hookean class of Hadamard materials.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129182732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Adiabatic Processes and Constraints in Thermoelasticity 热弹性中的绝热过程和约束
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0938
K. Rajagopal, A. Srinivasa
{"title":"Adiabatic Processes and Constraints in Thermoelasticity","authors":"K. Rajagopal, A. Srinivasa","doi":"10.1115/imece1999-0938","DOIUrl":"https://doi.org/10.1115/imece1999-0938","url":null,"abstract":"\u0000 The aim of this paper is to briefly outline an approach to the thermomechanics of thermoelastic solids based on the notion of multiple natural states and the use of adiabatic processes. We use a statement of the second law attributed to Kelvin for certain special cycles and show that the work done in adiabatic cycles of deformation is non-positive. With these and other assumptions on the nature of thermoelastic solids, we demonstrate the existence of an entropy function and the absolute temperature scale. In this, we closely follow the arguments of Caratheodory (1976). Finally, we briefly address the issues of a class of thermomechanical constraints and show that they naturally lead to considering constraints on adiabatic processes.\u0000 The principal results are the following:\u0000 1. Demonstration of the existence of the absolute temperature and entropy functions based on the consideration of adiabatic processes\u0000 2. A one-to-one correspondence between the stress-free states and the entropy, leading to a “decomposition” of the deformation gradient as Fκr = FκnG(η).\u0000 3. Physical interpretation of the constraints of the form f(Eκr,η) = 0.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126829437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Mixture of Elastic Materials With Internal Constraints 具有内部约束的弹性材料的混合物
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0936
S. Klisch
{"title":"A Mixture of Elastic Materials With Internal Constraints","authors":"S. Klisch","doi":"10.1115/imece1999-0936","DOIUrl":"https://doi.org/10.1115/imece1999-0936","url":null,"abstract":"\u0000 A treatment of internally constrained mixtures of elastic materials at a common temperature is developed. Internal constraints involving the deformation gradient tensors and the common mixture temperature are represented by a constraint manifold, and an internally constrained mixture of elastic materials is associated with each unique equivalence class of unconstrained mixtures. Several examples are discussed.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132524630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Curvature of a Film-Substrate System in the Nonlinear Deformation Range 非线性变形范围内薄膜-衬底系统的曲率
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0931
L. Freund, A. Rosakis, H. S. Lee
{"title":"Curvature of a Film-Substrate System in the Nonlinear Deformation Range","authors":"L. Freund, A. Rosakis, H. S. Lee","doi":"10.1115/imece1999-0931","DOIUrl":"https://doi.org/10.1115/imece1999-0931","url":null,"abstract":"\u0000 The physical system considered is a thin film bonded to the surface of an initially flat circular substrate, in the case when a residual stress exists due to an incompatible mismatch strain in the film. The magnitude of the mismatch strain is often inferred from a measurement of the curvature it induces in the substrate. This discussion is focused on the limit of the linear range of the relationship between the mismatch strain and the substrate curvature, on the degree to which the substrate curvature becomes spatially nonuniform in the range of geometrically nonlinear deformation, and on the bifurcation of deformation mode from axial symmetry to asymmetry with increasing mismatch strain. Results are obtained on the basis of both simple models and more detailed finite element simulations. Preliminary full-field observations are reported on deformation of a 6 μm thick Al film deposited onto a 100 μm thick Si substrate subjected to thermal cycling.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121838240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Changes due to Scission in an Elastomeric Cylinder Undergoing Circular Shear and Heat Conduction 弹性圆柱体在圆形剪切和热传导作用下的断裂变化
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0932
A. Wineman
{"title":"Changes due to Scission in an Elastomeric Cylinder Undergoing Circular Shear and Heat Conduction","authors":"A. Wineman","doi":"10.1115/imece1999-0932","DOIUrl":"https://doi.org/10.1115/imece1999-0932","url":null,"abstract":"Research in the prediction of durability and service life for elastomeric products has been actively pursued over the past decade because these materials are finding increasingly abundant applications in the automotive, aerospace and medical industries. Elastomers are used in many critical service applications that require long trouble free life, such as gaskets, seals, bridge pad bearings, tires, medical components and rocket fuel binders. For example, elastomeric seals are used in many applications where seals are relatively inaccessible and cost of replacement is too great. Thus, a fifty year service life for seal life is now a clearly stated objective for the energy industry (Hertz, 1997). The life expectation for elastomeric components on vehicles has changed dramatically over the past few years. Previously, many rubber components were viewed as items that would be replaced once or more during the life of a vehicle. Now, elastomeric components are expected to last the life of the vehicle, which is currently defined as 10 years/150,000 miles for both passenger cars and light trucks (Pett, 1997).","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"38 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123600184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Elastic Response of Rubber Double Networks 橡胶双网的弹性响应
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0933
C. M. Roland, P. Santangelo, P. H. Mott
{"title":"Elastic Response of Rubber Double Networks","authors":"C. M. Roland, P. Santangelo, P. H. Mott","doi":"10.1115/imece1999-0933","DOIUrl":"https://doi.org/10.1115/imece1999-0933","url":null,"abstract":"\u0000 Double network elastomers are formed by twice-curing rubber, the second time while the material is deformed. When measured parallel to the curing deformation, the equilibrium modulus of a double network exceeds that of an isotropic elastomer of equal crosslink density. This difference increases with increasing strain. Despite the higher modulus, the mechanical fatigue lifetimes of double networks of natural rubber were found to be as much as a factor of ten higher than for the conventionally crosslinked rubber. The double network’s tensile strength, on the other hand, was slightly lower. Such results suggest that the conventional compromise between modulus and failure properties can be circumvented using double network rubbers. Their utilization can yield elastomers of better mechanical properties.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121817709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shocks in Thermoelastic Rods 热弹性棒的冲击
Finite Thermoelasticity Pub Date : 1999-11-14 DOI: 10.1115/imece1999-0940
O. O’Reilly, P. Varadi
{"title":"Shocks in Thermoelastic Rods","authors":"O. O’Reilly, P. Varadi","doi":"10.1115/imece1999-0940","DOIUrl":"https://doi.org/10.1115/imece1999-0940","url":null,"abstract":"\u0000 A theory of a thermoelastic rod is presented in this paper. The theory is based on the work of Green and Naghdi, supplemented by singular supplies of momenta, energy and entropies at a discontinuity. In addition, several aspects of the theory in the presence of internal constraints are presented. The theory is suited to the study of numerous applications, including studies of phase transformations, propagation of shock and acceleration waves and axially moving rods.","PeriodicalId":388820,"journal":{"name":"Finite Thermoelasticity","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116275652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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