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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mechanics of Material Forces

Mechanics of Material Forces

Steinmann, Paul
Maugin, Gérard A.

Paperback

Series: Advances in Mechanics and Mathematics, Book 11

Technology & EngineeringPhysics

ISBN10: 1441938796
ISBN13: 9781441938794
Publisher: Springer
Published: Dec 8 2010
Pages: 338
Weight: 1.10
Height: 0.74 Width: 6.14 Depth: 9.21
Language: English
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de- ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math- ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con- tinuum mechanics. It is more or less clear that seemingly different phe- nomena - phase transition, local destruction of matter in the form of the loss of local ordering (such as in the appearance of structural defects or of the loss of cohesion by the appearance of damage or the exten- sion of cracks), plasticity, material growth in the bulk or at the surface by accretion, wear, and the production of debris - should enter a com- mon framework where, by pure logic, the material manifold has to play a prominent role. Finding the mathematical formulation for this was one of the great achievements of J. D. Eshelby. He was led to consider the apparent but true motion or displacement of embedded material inhomogeneities, and thus he began to investigate the driving force causing this motion or displacement, something any good mechanician would naturally introduce through the duahty inherent in mechanics since J. L. d'Alembert.

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