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Plane stress and plane strain assumptions in the stress analysis of laminated bodies
International Journal of Mechanical Sciences, 1976Abstract A critical survey is given of the assumptions made in the plane stress and plane strain analysis of laminated bodies. Corresponding numerical results are compared for the pure bending of curved laminated bars, and these are used to draw conclusions for general loading conditions.
Lo, K. H., Conway, H. D.
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Plane Plastic Stress and Pseudo Plane Stress
1977A stress state is referred to as plane stress if, for example, with reference to a cartesian coordinate system of axes the stress components σZ= τyz = τzx = 0, while the stress components σx, σy, τxy are independent of z.
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Plane Stress and Plane Strain Problems
2019Many structural members can be analyzed applying simplifying assumptions of plane stress or plane strain state. Examples include plates under in-plane loading, thick pipes under internal pressure, rotating discs, etc. Although many problems of this type can be solved in a closed analytical form assuming linear-elastic material behavior (Altenbach et al,
Konstantin Naumenko, Holm Altenbach
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1979
The plane problems to be discussed in this chapter occur as exact or approximate solutions of certain three-dimensional problems in the theory of elasticity. For isotropic materials these solutions may be expressed in terms of biharmonic functions of two variables. The use of functions of the corresponding complex variable is clearly indicated, because
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The plane problems to be discussed in this chapter occur as exact or approximate solutions of certain three-dimensional problems in the theory of elasticity. For isotropic materials these solutions may be expressed in terms of biharmonic functions of two variables. The use of functions of the corresponding complex variable is clearly indicated, because
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Principal Stress Trajectories in Plane Strain and Plane Stress Plasticity
2018The objective of the present work is to develop a method of finding principal stress trajectories in pressure-independent and pressure-dependent plasticity under plane strain and plane stress conditions. It is shown that the geometry of the principal line trajectories is defined, in the general case, by a telegraph equation.
Sergei Alexandrov, Alexander Pirumov
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1992
A problem is two-dimensional if the field quantities such as stress and displacement depend on only two coordinates (x,y) and the boundary conditions are imposed on a line f(x,y) = 0 in the x?/-plane.
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A problem is two-dimensional if the field quantities such as stress and displacement depend on only two coordinates (x,y) and the boundary conditions are imposed on a line f(x,y) = 0 in the x?/-plane.
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Journal of Elasticity, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1992
Abstract The basic constitutive relationships of Chapter 2, the energy-based displacement method of Chapter 3, and some of the interpolation functions of Chapter 5 are used to develop several finite elements for the analysis of plane stress and plane strain.
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Abstract The basic constitutive relationships of Chapter 2, the energy-based displacement method of Chapter 3, and some of the interpolation functions of Chapter 5 are used to develop several finite elements for the analysis of plane stress and plane strain.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1967
Tiffen and Lowe in two recent papers (4,5) have developed exact theories for the bending and stretching of generally loaded elastic plates using the moments of the fundamental equations of infinitesimal elasticity. The two theories depend on the choice of independent variables so that a pair of functions, denoted by and are independent. The choice is
Sayer, F. P., Calder, C. C.
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Tiffen and Lowe in two recent papers (4,5) have developed exact theories for the bending and stretching of generally loaded elastic plates using the moments of the fundamental equations of infinitesimal elasticity. The two theories depend on the choice of independent variables so that a pair of functions, denoted by and are independent. The choice is
Sayer, F. P., Calder, C. C.
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A Nonhomogeneous Beam in Plane Stress
Journal of Applied Mechanics, 1962An elementary solution of the plane-stress equation of nonhomogeneous elasticity is derived for the case in which the elastic constants are functions of only one variable. This solution may be applied to the calculation of the stress distribution in a nonhomogeneous beam under an end load or a distributed load.
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