BENDING ANALYSIS OF MICRO CANTILEVERS BASED ON THE CHEN-WANG STRAIN GRADIENT PLASTICITY THEORY

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ALIZADEH HAKIMEH; ANSARI REZA

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Journal: Modares Mechanical Engineering Year:2015 | Volume:15 | Issue:2 Page(s): 198-204

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Title

BENDING ANALYSIS OF MICRO CANTILEVERS BASED ON THE CHEN-WANG STRAIN GRADIENT PLASTICITY THEORY

Author(s)

ALIZADEH HAKIMEH | ANSARI REZA | Issue Writer Certificate

Keywords

STRAIN GRADIENT PLASTICITYQ2

MICRO CANTILEVER BEAMQ2

BENDINGQ2

INTRINSIC LENGTH SCALEQ2

CHEN-WANG THEORYQ2

Abstract

When the cantilever beam thickness is scaled down to micron, the dimension of material and the INTRINSIC LENGTH SCALE affect the mechanical behavior of the beam. The purpose of this paper is to analyze the BENDING of cantilever micro-beam and present a relation for the beam deflection using Chen-Wang gradient plasticity theory. To this end, the Euler-Bernoulli beam model is utilized and three cases including elastic, rigid-plastic and elasto-plastic beams are considered. Clear relations for elastic and plastic strains are given. For all mentioned cases, the beam deflection is determined for different intrinsic lengths and the obtained results are compared with each other and experimental data and some explanations are presented. The results obtained from classical theory are also shown in the results section to prove that classical theories do not have the ability to predict behavior of micron-size structures precisely. Numerical results clarify the dependence of responses to the range of dimensions and intrinsic lengths. The comparison between the present results and those observed from experimental tests authenticate the reliability of utilized gradient theory.

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APA: Copy

ALIZADEH, HAKIMEH, & ANSARI, REZA. (2015). BENDING ANALYSIS OF MICRO CANTILEVERS BASED ON THE CHEN-WANG STRAIN GRADIENT PLASTICITY THEORY. MODARES MECHANICAL ENGINEERING, 15(2), 198-204. SID. https://sid.ir/paper/179736/en

Vancouver: Copy

ALIZADEH HAKIMEH, ANSARI REZA. BENDING ANALYSIS OF MICRO CANTILEVERS BASED ON THE CHEN-WANG STRAIN GRADIENT PLASTICITY THEORY. MODARES MECHANICAL ENGINEERING[Internet]. 2015;15(2):198-204. Available from: https://sid.ir/paper/179736/en

IEEE: Copy

HAKIMEH ALIZADEH, and REZA ANSARI, “BENDING ANALYSIS OF MICRO CANTILEVERS BASED ON THE CHEN-WANG STRAIN GRADIENT PLASTICITY THEORY,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 2, pp. 198–204, 2015, [Online]. Available: https://sid.ir/paper/179736/en

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