快传播裂缝尖周围的温度场
The Temperature Fields Around the Tip of a Fast Running Crack
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摘要: 裂缝进入快传播时,裂缝尖周围的温度升高是一个十分重要的实际问题,它不仅取决于一些材料常数,也取决于传播速度和热源的密度分布.本文讨论了裂缝尖周围塑性区形状以及热源密度,提出了一个温度场模型.对PMMA材料进行了数值计算,并将结果与其它理论和实验结果作了比较.Abstract: When a crack is running, the temperature rise is a quite important actual problem,which not only depends on soaze material constants, but also on the propagation velocity and the distribution of the heat resource density. In this paper, ou the shape of plastic zone around the crack tip and the density of heat resouroe have been discussed and the model of the temperature fields has been proposed. The numerical results with PMMA have been given and compared with other theories atcd experimental results.
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[1] Anderssoa,H.,A finite-element representation of stable crack-growth,J.Mech,Phys.Solids,21,5(1973).337-356. [2] Anderssoa,H,liiaite element treatment of a uniformly moving.elasticplastic crack tip,J,Mech,Phgs,Solids,22,4(1974).285-308. [3] Weichert,R.,Oa the temperature rise at the tip of a fast rnnniag crack,J.Mech,Phys,Solids,22,2(1974),127-138. [4] Bergkuit,Hans The motion of a brittle crack,J,Mech,Phys,Solids,21.4(1973).229-239 [5] Rice,J.R Limitations to the small sale yielding approsimatiaa for crack tip plasticity,J.Mech,Ph}s.Solids,22,1(1974).17-26. [6] Ritchie,R,O.,J,F.Knotl and J,R,Rice,On the relationship between critical tensile stress and fracture toughness in mild steel,J.Mech,Ph}s,Solids,21..6(1973),395-410. [7] Hill,R.,The Mathematical Theory of Plasticitg,Oxford(1950). [8] Lasson,S,G,and A,J.Carlssoa,Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials,J.Mech,Phase Solids,21,4(1973).263-277. [9] Vetvebkee,B.M V,V..Bencuk and A,J.Jaremei,裂纹尖端周围的变形和破坏准则,力学译丛.2.3(1974). [10] Watson,G,N.,A Tratise on the Theory.of Bessel Function,(Second Edition) Combridge University Press,London(1944). [11] Kambour,R,P and R,E,Barker,Mechanism of fracture in glassy polymers:Ⅳ Temperature rise at the tip of propagating crack in poly(Methyl Methacrylate),J,Polymer Sci.,A-2,4,3(1966),359-383. [12] Levy,N,and J,Ro.Rice,In Physics of Strength and Plasticitg(Ed,A.,S,Argon),Cambridge,Mass:M,I,F.Press(1969).277. [13] Touloukian,Y.S.,Thermophysical Properties of High Temperature Solids Material,4(1967). [14] Fuller,K,N,G G,Foz and J,E,Field,The temperature rise at the tip of fastmoving cracks in glassy polymers,Proceeding of the Royal Society A341,1672(1975),537-557. [15] Roseathal,D.,The theory of moving sources of heat and its application to metal treatments,Trans,A,S,M,E 68.8(1946).849-866
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