非对称塑性力学的物理理论

高键; 林晓玲

非对称塑性力学的物理理论

高键,
林晓玲

山东工业大学济南 250000

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出版历程
- 收稿日期: 1994-07-18
- 刊出日期: 1995-05-15

A Physical Theory of Asymmetric Plasticity

Shandong University of Technology, Ji'nan 250000, P. R. China

摘要

摘要: 实验观察到塑性变形中的旋转现象。这种塑性旋转是由旋错,位错的特殊排列和微观结构上缺陷滑动所产生的非均匀性,本文基于塑性旋转的微观机制,建立了缺陷(位错和旋错)运动所满足的守恒方程。基于非对称连续介质力学理论,导出了缺陷运动所满足的扩散方程。利用塑性功的最大耗散过程和尺度不变性,推出了Cosserat塑性力学中的各种模型。
- 塑性旋转 /
- 微观结构 /
- 旋错 /
- 位错
Abstract: Experiments have shown the strong rotation in plastic deformation,which is caused by the diselination,specific arrangement of dislocation and inhomogeneity of the gliding motion of the defects in the microscopic scale.Based on the microscopic mechanism of the rotational plastic deformation,the conservation equation satisfied by the defects motion(dislocation and disclination)has been developed in this paper.Then the diffusion motion of the defects are reduced based on the asymmetric theory of continuum mechanics.By utilizing the maximization procedure for the micro plastic work and a scale-invariance argument,various models of Cosserat-type plasticity are obtained in this manner.
- rotational plastic deformation /
- microscopic scale /
- disclination /
- dislocation

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参考文献(15)

[1]	E.C.Aifantis,Physics of plastic deformation,Int.J.Plasticity,3(1987),211-247.
[2]	E.C.Aifantis,On the dynamical origin of dislocation patterns,Mater.Sci.Eng.,81(1986),563-575.
[3]	R.Dewit,A view of the relation between the continuum theory of lattice defects and non-euclidean geometry in the linear approximation,Int.J.Engng.Sci.,19(1981),1475-1506.
[4]	J.P.Nowacki,Theory of disclination in elastic cosserat media,Arch.Mech.,29(1977),531-545.
[5]	M.Kleman,The general theory of disclinations,Dislocation in Solids,(ed.by F.R.N.Nabaroo,)North-Holland Publishing Company,5(1980),243-297.
[6]	Shun-ichi Amari,Dualistic theroy of non-riemannian material manifolds,Int.J.Engng.Sci.,19(1981),1581-1584.
[7]	M.J.Marcinkowski,Dislocations and disclinations in a new light,Arch.Mech.,42(1977),279-289.
[8]	M.J.Marcinkowski,The differential geometry of disclinations;wedge dislocations,Arch.Mech.,29(1977),313-324.
[9]	V.I.Vladimirov,A.A.Kusov,et al.,Rotational model in slip channels without dislocations,Phys.Met.Metall.,68,26-31.
[10]	E..C.Airantis and A.Ye.Romanov,Reaction-diffusion scheme for dislocation-disclination ensembles.
[11]	H.Lippmann,Eine cosserat-theorie des plastischen fliebens,Acta Mechanica,8(1969),255-267.
[12]	Z.Olesiak and M.Wagrowska,On shear and rotational yield conditions,Arch.Mech.,37(1985),147-155.
[13]	I.Vardoulakis,Shear-banding and liquefaction in granular materials on the basis of a cosserat continuum theory,Ingenieur-Archiv,59(1989),106-113.
[14]	H.B.Muhlhaus and I.Vardoulakis,The thickness of shear bands in grhnular materials,Geotechnique,37(1987),271-283.
[15]	D.Besdo,Ein Beitrag zur nichtlinearan theorie des Cosserat-Kontinuums,Acta Mechanica,20(1974),105-116.