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Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity
Alternative TitleMeasurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity
Ji Bin1; Chen Wanji1; Zhao Jie1
2009
Source PublicationACTA MECHANICA SINICA
ISSN0567-7718
Volume25Issue:3Pages:381-387
AbstractOwing to the absence of proper analytical solution of cantilever beams for couple stress/strain gradient elasto-plastic theory, experimental studies of the cantilever beam in the micro-scale are not suitable for the determination of material length-scale. Based on the couple stress elasto-plasticity, an analytical solution of thin cantilever beams is firstly presented, and the solution can be regarded as an extension of the elastic and rigid-plastic solutions of pure bending beam. A comparison with numerical results shows that the current analytical solution is reliable for the case of sigma (0) a parts per thousand(a) H a parts per thousand(a) E, where sigma (0) is the initial yield strength, H is the hardening modulus and E is the elastic modulus. Fortunately, the above mentioned condition can be satisfied for many metal materials, and thus the solution can be used to determine the material length-scale of micro-structures in conjunction with the experiment of cantilever beams in the micro-scale.
Other AbstractOwing to the absence of proper analytical solu-tion of cantilever beams for couple stress/strain gradient elas-to-plastic theory, experimental studies of the cantilever beam in the micro-scale are not suitable for the determination of material length-scale. Based on the couple stress elasto-plas-ticity, an analytical solution of thin cantilever beams is firstly presented, and the solution can be regarded as an extension of the elastic and rigid-plastic solutions of pure bending beam. A comparison with numerical results shows that the current analytical solution is reliable for the case of σ_0 << H << E, where σ_0 is the initial yield strength, H is the hardening modulus and E is the elastic modulus. Fortunately, the above mentioned condition can be satisfied for many metal materi-als, and thus the solution can be used to determine the mate-rial length-scale of micro-structures in conjunction with the experiment of cantilever beams in the micro-scale.
KeywordSTRAIN GRADIENT PLASTICITY MICRO-INDENTATION LAW Material length-scale Couple stress elasto-plasticity Analytical solution Cantilever beam
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China]
CSCD IDCSCD:3539032
Citation statistics
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/147449
Collection中国科学院金属研究所
Affiliation1.大连大学
2.中国科学院金属研究所
Recommended Citation
GB/T 7714
Ji Bin,Chen Wanji,Zhao Jie. Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity[J]. ACTA MECHANICA SINICA,2009,25(3):381-387.
APA Ji Bin,Chen Wanji,&Zhao Jie.(2009).Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity.ACTA MECHANICA SINICA,25(3),381-387.
MLA Ji Bin,et al."Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity".ACTA MECHANICA SINICA 25.3(2009):381-387.
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