EFFECT OF MAGNETIC FIELD AND A MODE-I CRACK 3D-PROBLEM IN MICRO POLAR THERMOELASTIC CUBIC MEDIUM POSSESSING UNDER THREE THEORIES

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LOTFY KH.; YAHIA N.

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Journal: JOURNAL OF SOLID MECHANICS Year:2013 | Volume:5 | Issue:3 Page(s): 253-269

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Title

EFFECT OF MAGNETIC FIELD AND A MODE-I CRACK 3D-PROBLEM IN MICRO POLAR THERMOELASTIC CUBIC MEDIUM POSSESSING UNDER THREE THEORIES

Author(s)

LOTFY KH. | YAHIA N. | Issue Writer Certificate

Keywords

GLTHEORY

MAGNETO-THERMO ELASTICITY

MODE-I CRACK

MICRO ROTATION

MICRO POLAR THERMOELASTIC MEDIUM

Abstract

A model of the equations of two dimensional problems in a half space, whose surface in free of micro polar thermoplastic medium possesses cubic symmetry as a result of a MODE-I CRACK is studied. There acts an initial magnetic field parallel to the plane boundary of the half- space. The crack is subjected to prescribed temperature and stress distribution. The formulation in the context of the Lord-shulman theory LS includes one relaxation time and Green-Lindsay theory GL with two relaxation times, as well as the classical dynamical coupled theory CD. The normal mode analysis is used to obtain the exact expressions for the displacement, MICRO ROTATION, stresses and temperature distribution. The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence of magnetic field. A comparison is also made between the three theories for different depths.

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APA: Copy

LOTFY, KH., & YAHIA, N.. (2013). EFFECT OF MAGNETIC FIELD AND A MODE-I CRACK 3D-PROBLEM IN MICRO POLAR THERMOELASTIC CUBIC MEDIUM POSSESSING UNDER THREE THEORIES. JOURNAL OF SOLID MECHANICS, 5(3), 253-269. SID. https://sid.ir/paper/319315/en

Vancouver: Copy

LOTFY KH., YAHIA N.. EFFECT OF MAGNETIC FIELD AND A MODE-I CRACK 3D-PROBLEM IN MICRO POLAR THERMOELASTIC CUBIC MEDIUM POSSESSING UNDER THREE THEORIES. JOURNAL OF SOLID MECHANICS[Internet]. 2013;5(3):253-269. Available from: https://sid.ir/paper/319315/en

IEEE: Copy

KH. LOTFY, and N. YAHIA, “EFFECT OF MAGNETIC FIELD AND A MODE-I CRACK 3D-PROBLEM IN MICRO POLAR THERMOELASTIC CUBIC MEDIUM POSSESSING UNDER THREE THEORIES,” JOURNAL OF SOLID MECHANICS, vol. 5, no. 3, pp. 253–269, 2013, [Online]. Available: https://sid.ir/paper/319315/en

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