Results 251 to 260 of about 947,996 (305)
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1976
In discussing forces in Chapters 2 and 5, we have already found it convenient to describe the intensity of forces acting across planes as the ratio of total force to the area of the plane. This ratio of force to area is the magnitude of the quantity called the stress on a plane.
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In discussing forces in Chapters 2 and 5, we have already found it convenient to describe the intensity of forces acting across planes as the ratio of total force to the area of the plane. This ratio of force to area is the magnitude of the quantity called the stress on a plane.
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A Concentrated Force Problem of Plane Strain or Plane Stress
Journal of Applied Mechanics, 1947Abstract The problem in plane strain or plane stress of a large plate containing an elliptical hole, which is loaded by line forces at the ends of the minor axis of the ellipse, is solved in closed form by using complex variable analysis.
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Plane stress and plane strain fractures in polypropylene
Polymer Engineering & Science, 1980AbstractThe concepts of Linear Elastic Fracture Mechanics (LEFM) are applied to polypropylene, a homopolymer and two copolymers, with a view to characterizing their brittle behavior at slow rates (0.5 cm/min) in terms of a fracture toughness, KIc. The effect of thickness, notch sharpness, and the mode of loading on KIc have been investigated in order ...
P. L. Fernando, J. G. Williams
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Calcolo, 1976
A problem of plane elastic-plastic stress is connected with a varitional problem in an appropriate Hilbert space. Next, the numerical solution of the latter is considered. Finally, the exact and the approximate solutions of a model problem are compared.
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A problem of plane elastic-plastic stress is connected with a varitional problem in an appropriate Hilbert space. Next, the numerical solution of the latter is considered. Finally, the exact and the approximate solutions of a model problem are compared.
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Journal of the Structural Division, 1963
A plane stress model has been developed using one-dimensional elements for which a stiffness matrix can be generated having a relatively narrow band of nonzero terms. A digital computer program has been developed for this type of matrix for which the computing times are short enough and the round-off errors are small enough that solutions can be ...
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A plane stress model has been developed using one-dimensional elements for which a stiffness matrix can be generated having a relatively narrow band of nonzero terms. A digital computer program has been developed for this type of matrix for which the computing times are short enough and the round-off errors are small enough that solutions can be ...
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The ratio of out-of-plane to in-plane stresses for plane strain problems
Meccanica, 2008The ratio of out-of-plane to in-plane stresses for elastic-plastic plane strain problems reported in literatures is discussed in this note, and another simple expression is proposed. As general relations for plane strain problems, these formulae may be helpful in the elastic-plastic analyses.
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1993
So far, we have dealt with one dimensional problems in structural mechanics and the difficulties in making simple but reliable finite element models for them. We now proceed to a simple two dimensional problem in which very similar difficulties appear.
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So far, we have dealt with one dimensional problems in structural mechanics and the difficulties in making simple but reliable finite element models for them. We now proceed to a simple two dimensional problem in which very similar difficulties appear.
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2000
In many problems of practical interest, it is a reasonable approximation to disregard the elastic component of strain in the theoretical analysis, even when the body is only partially plastic. In effect, we are then dealing with a hypothetical material which is rigid when stressed below the elastic limit, the modulus of elasticity being considered as ...
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In many problems of practical interest, it is a reasonable approximation to disregard the elastic component of strain in the theoretical analysis, even when the body is only partially plastic. In effect, we are then dealing with a hypothetical material which is rigid when stressed below the elastic limit, the modulus of elasticity being considered as ...
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Plane State of Strain and Plane State of Stress
2000Generally speaking a solution of three-dimensional problems of elasticity theory is hard to obtain. It is therefore important to analyze a simpler case in which the quantities involved (stresses, strains, etc.) depend on two spatial coordinates only. In this class of problems belong the plane strain and so-called generalized plane stress problems that ...
Teodor M. Atanackovic, Ardéshir Guran
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The Affine Transformation for Orthotropic Plane-Stress and Plane-Strain Problems
Journal of Applied Mechanics, 1956Abstract It is demonstrated that a single affine transformation of the type x = ax′, y = by′ immediately extends the solution of any isotropic plane-stress or plane-strain problem to the solution of an orthotropic plane problem where the orthotropic material is characterized by three independent constants.
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