Elastic Solids with Many Cracks and Related Problems

doi:10.1016/S0065-2156(08)70176-5

Advances in Applied Mechanics

Volume 30, 1993, Pages 259-445

https://doi.org/10.1016/S0065-2156(08)70176-5 Get rights and content

Publisher Summary

This chapter discusses some basic problems in mechanics of elastic solids containing multiple cracks. A number of mathematical aspects that frequently constitute fields of their own (like various numerical techniques) are discussed very briefly in the chapter. The focus is on physically important effects produced by crack interactions and to present results in the simplest form possible. The problems considered in this chapter can be divided into two groups: (1) The impact of interactions on individual cracks, particularly on the stress intensity factors (SIFs), and (2) the effective elastic properties of solids with many cracks. Problems of the first group are, generally, relevant for the fracture-related considerations; solutions are sensitive to the positions of individual cracks. Problems of the second group deal with the volume average quantities; they are relatively insensitive to the information on individual cracks. The chapter discusses, in this connection, whether correlations exist between these two groups of quantities; in particular, whether microcracking can be reliably monitored by measuring changes in the effective elastic moduli.

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Elastic Solids with Many Cracks and Related Problems

Publisher Summary

Eng. Fracture Mech.

Mech. Res. Comm.

Int. J. Solids & Struct.

J. Mech. Phys. Solids

Int. J. Solids & Struct.

Mech. of Materials

Mech. of Materials

J. Mech. Phys. Solids

J. Mech. Phys. Solids

Int. J. Eng. Sci.

Mech. Mater.

J. Mech. Phys. Solids

Int. J. Eng. Sci.

Eng. Fracture Mech.

Acta Met.

Acta Mechanica

Int. J. Fracture

Ing.-Archiv

J. Appl. Mech.

J. Mech. Phys. Solids

J. Mech. Phys. Solids

J. Amer. Ceramic Soc.

J. Mech. Phys. Solids

Int. J. Solids and Struct.

J. Mech. Phys. Solids

Int. J. Fracture

Appl. Mech. Rev.

Int. J. of Eng. Sci.

Numerical fracture mechanics.

A thermomechanical constitutive theory for elastic composites with distributed damage

Int. J. Solids & Struct.

Fracture mechanics.

Elastic equilibrium of a body weakened by a set of circular cracks situated along a plane

Soviet Physics Doklady

A mixed elastic problem for a half-space with circular interfaces of boundary conditions. Izvestiya Akademii Nauk SSSR

Mekhanika Tverdogo Tela

Combined stresses in an orthotropic plate having a finite crack

J. Appl. Mech.

Self-consistent model for transversely isotropic cracked solid

J. Eng. Mech.

Some remarks on three micromechanical models in composite media

J. Appl. Mech.

Statistical continuum theories.

Net-stress analysis in creep mechanics

Ing.-Archiv

Microcracks and the static and dynamic elastic constants of annealed and heavily cold-worked metals

British J. Appl. Phys.

Comment on “seismic velocities…”

J. Geophys. Res.

Macrocrack extension in microcracked dispersion-toughened ceramics

Advances in Ceramics

Some aspects of a problem of a flat elliptical crack under shear stress

J. Math. Phys.

General case of multiple crack problems in an infinite plate

Engineering Fracture Mechanics

Tensorial damage evolution and coupled plasticity-damage framework

Elastic interaction of a crack with a microcrack array

Int. J. Solids Structures

Effect of crack-microcrack interactions on energy release rates

Int. J. Fracture

Elastic interaction of a crack with a random array of microcracks

Int. J. Fracture

A simple calculation of process-zone toughening by microcracking

J. American Ceramic Soc.