Anisotropy and Localization of Plastic Deformation: by Jacob Aboudi (auth.), Jean-Paul Boehler, Akhtar S. Khan

By Jacob Aboudi (auth.), Jean-Paul Boehler, Akhtar S. Khan (eds.)

Present advancements in fabrics technological know-how, mechanics and engineering, in addition to the calls for of recent know-how, bring about a brand new and starting to be curiosity in plasticity and in bordering domain names of the mechanical habit of fabrics. This turning out to be curiosity is attested to by way of the luck of either The foreign magazine of Plasticity, which after its inception quickly turned the major magazine for plasticity examine, and the sequence ofInternational Symposia on Plasticity and Its present purposes, that is now the most suitable foreign discussion board for plasticity examine dissemination. the 1st overseas Symposium on Plasticity and Its present functions used to be conceived and arranged through Professor Akhtar S. Khan, and was once held on the college of Oklahoma (Norman, Oklahoma, united states) from July 30 to August three, 1984. It used to be attended by means of over 100 scientists from fifteen international locations. "Plasticity '89: the second one overseas Symposium on Plasticity and Its present functions" used to be held at Mie collage (Tsu, Japan) from July 31 to August four, 1989; this symposium was once co-chaired via Professors Khan and Tokuda. the most emphasis of this assembly was once on dynamic plasticity and micromechanics, even though it incorporated different points of plasticity in addition. It was once attended through over 200 researchers from twenty-three nations.

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Extra resources for Anisotropy and Localization of Plastic Deformation: Proceedings of PLASTICITY ’91: The Third International Symposium on Plasticity and Its Current Applications

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The new procedure was applied in the above reference [6] to composite materials containing a nonlinear isotropic matrix either weakened or reinforced by isotropic distributions of voids or rigid particles, respectively. The case of a ductile matrix reinforced by incompressible elastic particles was studied in [7]. The results of these studies were given in the form of estimates and rigorous bounds for the effective properties of such materials. The Hashin-Shtrikman bounds obtained via the new method directly from the Hashin-Shtrikman [3] bounds for the linear comparison material were found to be an improvement over the corresponding bounds obtained in [8] for the same class of nonlinear materials using the nonlinear extension of the Hashin-Shtrikman variational principle [3] proposed by Talbot and Willis [9].

REFERENCES 1. C. J. , Interscience, New York, 1963, pp. 65-102. 2. C. , Mathematical Theories of Brittle Fracture, in Fracture, vol. 2, H. , Academic Press, New York, 1968, pp. 68-190. 3. C. , Stress Analysis of Cracks, ASTM STP 381, Am. Soc. , 1965, pp. 30-8l. 4. , Mechanics of Crack Tip Deformation and Extension by Fatigue, ASTM STP 415, Am. Soc. , 1967, pp. 247-309. 5. , On the Theory of Perfectly Plastic Anti-Plane Straining, Report NSF GT 286/2, Div. , March 1966. M. SPENCER Department of Theoretical Mechanics, University of Nottingham, Nottingham, NG7 2RD, England ABSTRACT We formulate the governing equations for a thermoelastic-plastic material, which has orthotropic symmetry for both its thermal and its mechanical response.

0, or ! = 0 and b : E : £(v) < 0 (1) CJ = lL : £(v) with lL= H when ! = 0 and b : E : £(v) ;;:: 0 where (, and £(v) = £respectively denote the stress and strain rates, v the velocity, and! This paper constitutes a unified and augmented presentation of results given in [5-9] where it was shown that in general different types of localization phenomena may occur, depending on the failure of one of three conditions which are described in the following. LOCALIZATION CONDITIONS Let us consider a possibly heteregeneous body (see figure 1); it may represent an inclusion within a matrix, a fibre in a composite, ....

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