I read with interest an excellent discussion about Linear Algebra in Mechanics. I am attaching Chapter I: Tensor Preliminaries from my book Elastoplasticity Theory, which includes Hill's analysis of induced tensors mentioned in the discussion.
Erastus H. Lee, professor emeritus and a prominent researcher, with fundamental contributions to plasticity, viscoelasticity and wave propagation, died at the age of 90 on May 17, 2006, in Lee, New Hampshire.
The following is a link to the journal "Theoretical and Applied Mechanics," an international journal of the Serbian Society of Mechanics, founded in 1980 in former Yugoslavia:
Just a reminder that this Sunday, April 15 will be exactly 300 years since Leonhard Euler was born.
I am sure many mechanicians will toast this weekend on this extraordinnary anniversary to the person who laid down much of the foundations in mathematics and mechanics.
A variable core model of a moving crystal dislocation is proposed and used to derive an expression for the Peierls stress. The dislocation width varies periodically as a dislocation moves through the lattice, which leads to an expression for the Peierls stress in terms of the difference of the total energies in the crystal corresponding to stable and unstable equilibrium configurations of the dislocation, rather than the difference in the misfit energies alone. Results for both edge and mixed dislocations are given and proposed to be used in conjunction with ab initio calculations.
Mechanics of Solids and Materials intends to provide a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior. The book blends both innovative (e.g., large strain, strain rate, temperature, time-dependent deformation and localized plastic deformation in crystalline solids, and deformation of biological networks) and traditional topics (e.g., elastic theory of torsion, elastic beam and plate theories, and contact mechanics) in a coherent theoretical framework. This, and the extensive use of transform methods to generate solutions, makes the book of interest to structural, mechanical, and aerospace engineers.
Erastus H. Lee, professor emeritus and a prominent researcher, with fundamental contributions to plasticity, viscoelasticity and wave propagation, died at the age of 90 on May 17, 2006, in Lee, New Hampshire.
Just a reminder that this Sunday, April 15 will be exactly 300 years since Leonhard Euler was born.
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