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Nonlinear stress-strain equations
International Journal of Solids and Structures, 1965Abstract Two unrelated methods which have previously been used in the development of stress-strain equations of nonlinear elasticity are examined. The first is the traditional notion of relating the stress to the strain through a strain energy function and the second is a recent geometrical approach suggested by Stojanovitch.
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2011
The mathematical formulation of wave propagation in solids involves the use of the concepts and principles of 3-dimensional stress and strain analysis. Hence, we start by outlining these principles.
Postema, Michiel, Fagan, Michael J.
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The mathematical formulation of wave propagation in solids involves the use of the concepts and principles of 3-dimensional stress and strain analysis. Hence, we start by outlining these principles.
Postema, Michiel, Fagan, Michael J.
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Stress, Strain, and Their Relationships
1991The concepts of stress and strain are two of the most important concepts within the subject of mechanics of materials or mechanics of deformable bodies. They are discussed in detail in this chapter, particularly as they relate to two-dimensional situations.
B. B. Muvdi, J. W. McNabb
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This thesis is a supplementary text for the exhibition “STRESS/STRAIN”, so it should not to be considered separately from the exhibited works. The purpose of the thesis is to analyze the works in the exhibition by examining the artistic process during past two years based on the concepts of collecting objects, behavioral interactions with meanings of ...
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Journal of the Aeronautical Sciences, 1946
Most of the analytical expressions for stress-strain curves that have appeared in the literature and a few others are considered critically. I t is concluded that six have general value, and, of these, two are to be preferred in seeking a fit to stressstrain data.
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Most of the analytical expressions for stress-strain curves that have appeared in the literature and a few others are considered critically. I t is concluded that six have general value, and, of these, two are to be preferred in seeking a fit to stressstrain data.
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1977
An example of the class of problems called ‘statically indeterminate’ is that of compound bars subjected to axial forces, that is, bars made of two or more different materials with forces applied along the lengths of the bars. In this context, ‘statically indeterminate’ simply means that the equations of static equilibrium are not sufficient to find ...
P. R. Lancaster, D. Mitchell
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An example of the class of problems called ‘statically indeterminate’ is that of compound bars subjected to axial forces, that is, bars made of two or more different materials with forces applied along the lengths of the bars. In this context, ‘statically indeterminate’ simply means that the equations of static equilibrium are not sufficient to find ...
P. R. Lancaster, D. Mitchell
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1992
The uniaxial tension test is a convenient method for the determination of mechanical properties of a material. A typical curve in the system nominal stress-Cauchy strain is presented in Fig. 5.1, in which the following characteristic points are indicated: 1: proportional limit σ p ; 2: elastic limit σ H ; 3: yield point σ o ; 3–4: platform of ideal ...
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The uniaxial tension test is a convenient method for the determination of mechanical properties of a material. A typical curve in the system nominal stress-Cauchy strain is presented in Fig. 5.1, in which the following characteristic points are indicated: 1: proportional limit σ p ; 2: elastic limit σ H ; 3: yield point σ o ; 3–4: platform of ideal ...
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2008
Stress-strain relationship of soil is characterized by the rigidity when strain is small as well as the shear strength at large strains, which is the upper bound of the stress level. This fundamental nature of soil behavior has often been modeled by a hyperbolic curve (Fig. 11.1); refer to Kondner (1963) together with Kondner and Zelasko (1963).
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Stress-strain relationship of soil is characterized by the rigidity when strain is small as well as the shear strength at large strains, which is the upper bound of the stress level. This fundamental nature of soil behavior has often been modeled by a hyperbolic curve (Fig. 11.1); refer to Kondner (1963) together with Kondner and Zelasko (1963).
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2001
This section describes several methods that can be used to model the stress-strain curve of Glare.
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This section describes several methods that can be used to model the stress-strain curve of Glare.
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