CiteULike: norris Ericksen

On the Cauchy—Born Rule

JL Ericksen — 2008-04-22T14:57:15-00:00

Mathematics and Mechanics of Solids, Vol. 13, No. 3-4. (2008), pp. 199-220.

Electromagnetic Effects in Thermoelastic Materials

JL Ericksen — 2007-11-08T19:19:13-00:00

Mathematics and Mechanics of Solids, Vol. 7, No. 2. (1 April 2002), pp. 165-189.

It is an old idea in electromagnetic theory that the aether relations holding in vacuum should also apply in matter. However, this is not commonly used in formulating theories of electromagnetic effects in materials. To be formulated here are theories of magnetic and electric effects in deformable solids based on this idea. It turns out that these are somewhat different from theories in common usage, but it is not easy to determine which is better. In the formulations, some ideas concerning principles of virtual work are used that seem not to be well known. 10.1177/1081286502007002222

A Modified Theory of Magnetic Effects in Elastic Materials

JL Ericksen — 2007-11-08T18:27:39-00:00

Mathematics and Mechanics of Solids, Vol. 11, No. 1. (1 February 2006), pp. 23-47.

Essentially, this is a critique of static theories covering magnetic effects and elastic deformations. For this, I just use general ideas of continuum theory and common ideas from the calculus of variations as it relates to energy minimization. I obtain the basic equations and jump conditions before even mentioning forces and torques, since descriptions of these have been controversial. 10.1177/1081286505055530

Magnetizable and Polarizable Elastic Materials

JL Ericksen — 2007-11-08T18:01:24-00:00

Mathematics and Mechanics of Solids (31 January 2007), 1081286506069847.

In research on materials, it is not unusual for workers to be unaware of good ideas and results produced long ago, and I will discuss a case in point. When workers became acquainted with radiation pressure, it stimulated them to consider the possibility that electromagnetic fields could not only exert forces on matter, but that matter could exert forces on fields, extending ideas of action and reaction to combinations of these. I will present a formulation of these ideas and a similar one about energies, then use them to formulate a theory of materials that can be magnetized and polarized, one that can be compared with various theories of this kind in the literature. There are important differences between the theory presented here and most of the others. So, this provides food for thought as to what should be taken as bases for formulating such theories. 10.1177/1081286506069847

Kinematics of macromolecules

JL Ericksen — 2007-11-01T17:04:00-00:00

Archive for Rational Mechanics and Analysis, Vol. 9, No. 1. (1 January 1962), pp. 1-8.

Bifurcation and Martensitic transformations in Bravais lattices

JL Ericksen — 2007-08-29T13:51:22-00:00

Journal of Elasticity, Vol. 28, No. 1. (1 June 1992), pp. 55-78.

Behavior of crystalline solids exhibiting shape memory effects seems to be associated with special kinds of Martensitic transformations, near which some linear elastic moduli are small compared to others. This work explores the possibility of interpreting this in terms of special kinds of bifurcations.

On kinematic conditions of compatibility

JL Ericksen — 2007-08-29T13:28:10-00:00

Journal of Elasticity, Vol. 26, No. 1. (1 July 1991), pp. 65-74.

Theory of Elastic Dielectrics Revisited

J Ericksen — 2007-06-30T13:50:01-00:00

Archive for Rational Mechanics and Analysis, Vol. 183, No. 2. (6 February 2007), pp. 299-313.

Abstract I develop a variational principle introduced in [2] for electromagnetic elastic bodies and discuss its consequences. Formulae for stress tensors and configurational stresses are derived by energy minimization.

On Formulating and Assessing Continuum Theories of Electromagnetic Fields in Elastic Materials

J Ericksen — 2007-06-28T15:42:41-00:00

Journal of Elasticity, Vol. 87, No. 2. (15 June 2007), pp. 95-108.

Abstract My aim is to explore some ideas about the foundations of electromagnetic theory for elastic materials and to suggest some ways of assessing theories of this kind. I will describe some old ideas that seem to have been forgotten, about forces exerted by matter and fields on each other, and a similar idea about energies. Among other things, I will trace Toupin’s thinking about elastic dielectrics, showing how he moved toward using these ideas, although he did not explicitly recognize them. Further, I will explain how his dynamical theory can be interpreted to be consistent with them, although this is not obvious from what he wrote.