Mechanics of Solids

Nonlinear Mechanics of Solids Containing Isolated Voids

Applied Mechanics Reviews ◽

10.1115/1.2192812 ◽

2006 ◽

Vol 59 (4) ◽

pp. 210-229 ◽

Cited By ~ 9

Author(s):

Z. P. Huang ◽

J. Wang

Keyword(s):

Critical Review ◽

Cell Model ◽

Extreme Case ◽

Local Deformation ◽

Mechanics Of Solids ◽

Nonlinear Mechanics ◽

Theoretical Frameworks ◽

Nonlinear Materials ◽

A Cell ◽

Nonlinear Composite

The ductile fracture of many materials is related to the nucleation, growth, and coalescence of voids. Also, a material containing voids represents an extreme case of heterogeneous materials. In the last few decades, numerous studies have been devoted to the local deformation mechanisms and macroscopic overall properties of nonlinear materials containing voids. This article presents a critical review of the studies in three interconnected topics in nonlinear mechanics of materials containing isolated voids, namely, the growth of an isolated void in an infinite medium under a remote stress; the macroscopic mechanical behavior of these materials predicted by using a cell model; and bounds and estimates of the overall properties of these materials as a special case of nonlinear composite materials. Emphasis are placed upon analytical and semianalytical approaches for static loading conditions. Both the classical methods and more recent approaches are examined, and some inadequacies in the existing methods are pointed out. In addition to the critical review of the existing methods and results, some new results, including a power-law stress potential for compressible nonlinear materials, are presented and integrated into the pertinent theoretical frameworks. This review article contains 118 references.

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Strength of Materials and Theory of Elasticity in 19th Century Italy. A Brief Account of the History of Mechanics of Solids and Structures. Von D. Capecchi, G. Ruta

Stahlbau ◽

10.1002/stab.201690011 ◽

2016 ◽

Vol 85 (1) ◽

pp. 75-76

Author(s):

Karl-Eugen Kurrer

Keyword(s):

19Th Century ◽

Theory Of Elasticity ◽

Mechanics Of Solids ◽

Strength Of Materials ◽

History Of Mechanics ◽

History Of

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Mechanics of Solids With Applications to Thin Bodies

Journal of Applied Mechanics ◽

10.1115/1.3167122 ◽

1983 ◽

Vol 50 (3) ◽

pp. 701-701 ◽

Cited By ~ 1

Author(s):

G. Wempner ◽

T. J. Lardner

Keyword(s):

Mechanics Of Solids

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Variational methods in the mechanics of solids, Proceedings of the IUTAM Symposium held at Northwestern University, Evanston, IL, September 1978, Edited by S. Nemat-Nasser, Pergamon Press, 1980. No. of pages: 426. Price: $100.00. 024728 8 (h)

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620171012 ◽

1981 ◽

Vol 17 (10) ◽

pp. 1589-1589

Keyword(s):

Variational Methods ◽

Mechanics Of Solids ◽

Northwestern University ◽

Iutam Symposium

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Fundamentals concerning wave loading on offshore structures

Journal of Fluid Mechanics ◽

10.1017/s0022112086001313 ◽

1986 ◽

Vol 173 ◽

pp. 667-681 ◽

Cited By ~ 120

Author(s):

James Lighthill

Keyword(s):

Fluid Mechanics ◽

Natural Frequency ◽

Potential Flow ◽

Vortex Flow ◽

Offshore Structures ◽

Second Order ◽

Mechanics Of Solids ◽

Wave Loading ◽

Velocity Fluctuations ◽

Substantial Body

This article is aimed at relating a certain substantial body of established material concerning wave loading on offshore structures to fundamental principles of mechanics of solids and of fluids and to important results by G. I. Taylor (1928a,b). The object is to make some key parts within a rather specialised field accessible to the general fluid-mechanics reader.The article is concerned primarily to develop the ideas which validate a separation of hydrodynamic loadings into vortex-flow forces and potential-flow forces; and to clarify, as Taylor (1928b) first did, the major role played by components of the potential-flow forces which are of the second order in the amplitude of ambient velocity fluctuations. Recent methods for calculating these forces have proved increasingly important for modes of motion of structures (such as tension-leg platforms) of very low natural frequency.

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