Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity

IMR OpenIR

	Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity
其他题名	Measurement of length-scale and solution of cantilever beam in couple stress elasto-plasticity
	Ji Bin 1; Chen Wanji 1; Zhao Jie 1
	2009
发表期刊	ACTA MECHANICA SINICA
ISSN	0567-7718
卷号	25 期号:3 页码:381-387
摘要	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.
其他摘要	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.
关键词	STRAIN GRADIENT PLASTICITY MICRO-INDENTATION LAW Material length-scale Couple stress elasto-plasticity Analytical solution Cantilever beam
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:3539032
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/147449
专题	中国科学院金属研究所
作者单位	1.大连大学 2.中国科学院金属研究所
推荐引用方式 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.