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73: Mechanics of solids


Mechanics of solids: questions of elasticity and plasticity, wave propagation, engineering, and topics in specific solids such as soils.


Applications and related fields

[Schematic of subareas and related areas]

This image slightly hand-edited for clarity.


This section will be deleted from the Mathematics Subject Classification starting in the year 2000; a new section 74: Mechanics of deformable solids will be added which will cover most of the same material.

Browse all (old) classifications for this area at the AMS.

Textbooks, reference works, and tutorials

Dikmen, M.: "Theory of thin elastic shells", Surveys and Reference Works in Mathematics, 8. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1982. 364 pp. ISBN 0-273-08431-3 MR84h:73035

Jenkins, Chris H.; Leonard, John W.: "Nonlinear dynamic response of membranes: state of the art", AMR 44 (1991), no. 7, 319--328. CMP1112398

Green, A. E.; Naghdi, P. M.: "A unified procedure for construction of theories of deformable media", Proc. Roy. Soc. London Ser. A 448 (1995), no. 1934, 335--388. MR96f:73004 I. Classical continuum physics. II. Generalized continua. III. Mixtures of interacting continua.

dell'Isola, F.; Rosa, L. "Outlooks in Saint Venant theory. II. Torsional rigidity, shear-stress 'and all that' in the torsion of cylinders with section of variable thickness", Arch. Mech. (Arch. Mech. Stos.) 48 (1996), no. 4, 753--763. MR97i:73020

Software and tables

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Selected topics at this site

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