Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity | |
Alternative Title | Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity |
Ji Bin1; Chen Wanji1; Zhao Jie1 | |
2009 | |
Source Publication | ACTA MECHANICA SINICA |
ISSN | 0567-7718 |
Volume | 25Issue:3Pages:381-387 |
Abstract | Owing 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 Abstract | Owing 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. |
Keyword | STRAIN GRADIENT PLASTICITY MICRO-INDENTATION LAW Material length-scale Couple stress elasto-plasticity Analytical solution Cantilever beam |
Indexed By | CSCD |
Language | 英语 |
Funding Project | [National Natural Science Foundation of China] |
CSCD ID | CSCD:3539032 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.imr.ac.cn/handle/321006/147449 |
Collection | 中国科学院金属研究所 |
Affiliation | 1.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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