THE EFFECT OF COUPLE-STRESSES ON THE ELASTODYNAMIC FIELD OF A DIFFRACTED WAVE BY AN EMBEDDED NANO-CAVITY IN AN INFINITE MEDIUM

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GOODARZI AZADEH; MOHAMMADI SHOJA HOSEIN; HASHEMIAN BEHDAD

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Journal: Modares Mechanical Engineering Year:2015 | Volume:15 | Issue:8 Page(s): 1-9

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Title

THE EFFECT OF COUPLE-STRESSES ON THE ELASTODYNAMIC FIELD OF A DIFFRACTED WAVE BY AN EMBEDDED NANO-CAVITY IN AN INFINITE MEDIUM

Author(s)

GOODARZI AZADEH | MOHAMMADI SHOJA HOSEIN | HASHEMIAN BEHDAD | Issue Writer Certificate

Keywords

NANO CAVITYQ1

COUPLE-STRESSESQ2

WAVE PROPAGATIONQ2

CHARACTERISTIC LENGTHQ2

Abstract

In the present work, the elastodynamic field of the scattering of an anti-plane high frequency elastic shear wave due to an embedded nano cylindrical cavity in an infinite elastic medium is obtained by considering the effects of COUPLE-STRESSES. In the theories accounting the effects of COUPLE-STRESSES in their formulations, a new CHARACTERISTIC LENGTH of material is introduced into the formulations which enable them to capture size effect at micro and nano scale. Also, contrary to classical continuum theory which has difficulties in describing dispersion of wave at high frequencies, observed dispersive wave in experiments can be explained in the framework of these theories. In this work, the analytical expressions of elastodynamic fields around the cavity are obtained by considering equation of motion, dispersion relation and appropriate boundary conditions in the framework of two theories considering COUPLE-STRESSES. Also, the dynamic stress concentration factor around the cavity within these theories is obtained, and, as a limiting case, the results of two cases of dynamic stress concentration factor in classical theory as well as static stress concentration factor in couple stress theories are recovered. In the framework of these theories, by several examples, the effects of frequency of incident wave and the ratio of couple stress CHARACTERISTIC LENGTH to the size of the cross section of the cavity on the displacement field, stress field and dynamic stress concentration factor around the cavity are studied, and the results are compared with the corresponding classical solutions.

Cites

EXTRACTION OF DISPERSION CURVES FOR LAMB WAVES IN AN ALUMINIUM NITRIDE (ALN) MICRO PLATE USING CONSISTENT COUPLE STRESS THEORY

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APA: Copy

GOODARZI, AZADEH, MOHAMMADI SHOJA, HOSEIN, & HASHEMIAN, BEHDAD. (2015). THE EFFECT OF COUPLE-STRESSES ON THE ELASTODYNAMIC FIELD OF A DIFFRACTED WAVE BY AN EMBEDDED NANO-CAVITY IN AN INFINITE MEDIUM. MODARES MECHANICAL ENGINEERING, 15(8), 1-9. SID. https://sid.ir/paper/179044/en

Vancouver: Copy

GOODARZI AZADEH, MOHAMMADI SHOJA HOSEIN, HASHEMIAN BEHDAD. THE EFFECT OF COUPLE-STRESSES ON THE ELASTODYNAMIC FIELD OF A DIFFRACTED WAVE BY AN EMBEDDED NANO-CAVITY IN AN INFINITE MEDIUM. MODARES MECHANICAL ENGINEERING[Internet]. 2015;15(8):1-9. Available from: https://sid.ir/paper/179044/en

IEEE: Copy

AZADEH GOODARZI, HOSEIN MOHAMMADI SHOJA, and BEHDAD HASHEMIAN, “THE EFFECT OF COUPLE-STRESSES ON THE ELASTODYNAMIC FIELD OF A DIFFRACTED WAVE BY AN EMBEDDED NANO-CAVITY IN AN INFINITE MEDIUM,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 8, pp. 1–9, 2015, [Online]. Available: https://sid.ir/paper/179044/en

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