Vlado A. Lubarda's blog

Vlado A. Lubarda's picture

Joining a discussion on Linear Algebra

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.


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In Memoriam: Erastus H. Lee

Erastus H. LeeErastus 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.

Ras Lee was born on February 2, 1916, in Southport, England. He graduated from Cambridge University in 1937 with a bachelor degree in mechanical sciences and mathematics. After a further year of postgraduate study at Cambridge with Professor C. E. Inglis, Ras was awarded a fellowship from the Commonwealth Fund of New York to study with Professor Stephen Timoshenko at Stanford University. He completed his Ph.D. degree in 1940 and immediately thereafter became involved in the British war efforts during World War II. He worked first as a progress officer in the British Purchasing Commission in New York and later in the British Air Commission in Washington. Officer Lee was concerned with planning aircraft deliveries from U.S. companies and keeping records of modifications required to meet British needs.


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"Theoretical and Applied Mechanics" - An international journal of the Serbian Society of Mechanics.

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:

http://www.ssm.org.yu/WebTAM/journal/journal.html

The attached pdf file is the editor invitation for the manuscript submission.

 

 


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The Leonhard Euler Tercentenary

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.

Some of the related links on the web are:

http://www.maa.org/Euler/

http://www.euler-2007.ch/en/


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A Variable Core Model and the Peierls Stress for the Mixed Dislocation

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.


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Recent book "Mechanics of Solids and Materials" by Asaro & Lubarda

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.


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