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Journal of Applied Mechanics and Technical Physics, 2001
The notion of natural stress tensors is introduced, which are tensors obtained from Cauchy and Kirchhoff stress tensors by operations of mapping, half-mapping, and mixed mapping of the actual configuration onto the reference configuration, and also onto two intermediate configurations. A complete class of natural stress tensors is obtained and analyzed.
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The notion of natural stress tensors is introduced, which are tensors obtained from Cauchy and Kirchhoff stress tensors by operations of mapping, half-mapping, and mixed mapping of the actual configuration onto the reference configuration, and also onto two intermediate configurations. A complete class of natural stress tensors is obtained and analyzed.
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1976
So far in our discussion of stress we have made as much use as possible of stress vectors, because vector quantities are relatively easy to understand and to visualize. We have pointed out, however, that there is a fundamental distinction between describing stress on a single plane using a stress vector and describing stress on the infinite collection ...
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So far in our discussion of stress we have made as much use as possible of stress vectors, because vector quantities are relatively easy to understand and to visualize. We have pointed out, however, that there is a fundamental distinction between describing stress on a single plane using a stress vector and describing stress on the infinite collection ...
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1984
It is suggested to place a small, simple and determinate structural system at the point where stress components are to be determined inside a concrete body. This structural system can be arranged so that measured strains of its members may provide sufficient information for determination of the state of stress. In the present pilot study, a determinate
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It is suggested to place a small, simple and determinate structural system at the point where stress components are to be determined inside a concrete body. This structural system can be arranged so that measured strains of its members may provide sufficient information for determination of the state of stress. In the present pilot study, a determinate
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2019
The “source” of gravity in the Einstein field equations is the stress-energy tensor. After a discussion of why gravitational mass should be part of a rank two tensor, this chapter derives the stress-energy tensor for a variety of types of matter: point particles, perfect fluids, scalar fields, and electromagnetism.
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The “source” of gravity in the Einstein field equations is the stress-energy tensor. After a discussion of why gravitational mass should be part of a rank two tensor, this chapter derives the stress-energy tensor for a variety of types of matter: point particles, perfect fluids, scalar fields, and electromagnetism.
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1991
The present book is restricted to small deformation of solid continua until Chapter X, where the finite deformation theory will start. Indicial notation rules, using subscripts to denote Cartesian components of tensors, will be followed until Section 10.6. Unless specified otherwise, subscripts 1, 2 and 3 denote Cartesian components in x 1, x 2 and x 3-
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The present book is restricted to small deformation of solid continua until Chapter X, where the finite deformation theory will start. Indicial notation rules, using subscripts to denote Cartesian components of tensors, will be followed until Section 10.6. Unless specified otherwise, subscripts 1, 2 and 3 denote Cartesian components in x 1, x 2 and x 3-
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Visualization of 3D Stress Tensor Fields Using Superquadric Glyphs on Displacement Streamlines
IEEE Transactions on Visualization and Computer Graphics, 2021David H Laidlaw, Mohak Patel
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The stress-energy tensor for biharmonic maps
Mathematische Zeitschrift, 2007S Montaldo +2 more
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Embedding stress difference in parameter space for stress tensor inversion
Journal of Structural Geology, 2006Atsushi Yamaji, Katsushi Sato
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