Theoretical plasticity of textured aggregates

Mathematical Proceedings of the Cambridge Philosophical Society - Tập 85 Số 1 - Trang 179-191 - 1979
Robert Hill1
1 Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Tóm tắt

AbstractThe plasticity of metal polycrystals with preferred orientations is considered from a phenomenological standpoint. Some new general theorems are proved, in particular the existence of a work-equivalent function of the tensor strain-rate over any yield surface. The status of the classical theory of plastic anisotropy is re-appraised in the light of recent experiments, which are themselves critically reviewed. A new type of yield function is proposed to account for the so-called anomalous behaviour of some materials.

Từ khóa


Tài liệu tham khảo

10.1080/14786444108561385

10.1016/0020-7403(78)90057-7

10.1098/rspa.1948.0045

10.1016/0022-5096(67)90018-X

10.1080/14786445108561065

Bland, 1956, The two measures of work-hardening, Proc. 9th International Congress of Applied Mechanics, 45

10.1016/0020-7403(68)90053-2

10.1016/0020-7403(77)90070-4

Hill, 1950, Mathematical Theory of Plasticity

10.1016/0020-7403(70)90087-1

10.1115/1.3443189

10.1016/0020-7403(77)90043-1

10.1080/14786445008560998

10.1016/0020-7403(66)90069-5

10.1016/0020-7403(68)90080-5

Lee, 1966, An experimental determination of the yield locus for titanium and titanium alloy sheet, Trans. Metallurgical Soc. Am. Inst. Mech. Eng., 236, 1077

Tozawa, 1970, Yield loci for pre-strained steel sheets, Proc. International Conference on the Science and Technology of Iron and Steel, 11, 936

10.1243/PIME_PROC_1970_185_066_02

10.1016/0020-7403(78)90041-3

Mellor, 1977, Proc. Symp. Mech. Metal Forming

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Thông tin xuất bản

Mathematical Proceedings of the Cambridge Philosophical Society

Tập 85 Số 1

179-191

Thông tin tác giả