Dynamic shear band development in dipolar thermoviscoplastic materials

作者: J. Hwang , R. C. Batra

DOI: 10.1007/BF00350005

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摘要: We study thermomechanical deformations of a viscoplastic body deformed in plane strain compression at nominal strain-rate 5000 sec-1. develop material model which the second order gradients velocity field are also included as kinematic variables and propose constitutive relations for corresponding higher stresses. This introduces characteristic length l, addition to viscous thermal lengths, into theory. It is shown that computed results become mesh independent l greater than certain value. Also, consideration has stabilizing effect sense initiation shear bands delayed their growth slower compared nonpolar (l=0) materials.

参考文章(29)
E. (Eugène) Cosserat, F. (François) Cosserat, Théorie des corps déformables info:edu-jhu-library/collection/brittlebooks/id/barcode/31151000327233. ,(1909)
A.E. Green, B.C. McInnis, P.M. Naghdi, Elastic-plastic continua with simple force dipole International Journal of Engineering Science. ,vol. 6, pp. 373- 394 ,(1968) , 10.1016/0020-7225(68)90017-7
Bernard D. Coleman, Marion L. Hodgdon, On Shear Bands in Ductile Materials Archive for Rational Mechanics and Analysis. ,vol. 90, pp. 227- 255 ,(1985) , 10.1007/978-3-642-61598-6_14
O.W. Dillon, J. Kratochvil, A strain gradient theory of plasticity International Journal of Solids and Structures. ,vol. 6, pp. 1513- 1533 ,(1970) , 10.1016/0020-7683(70)90061-2
R.C. Batra, C.H. Kim, Effect of thermal conductivity on the initiation, growth and bandwidth of adiabatic shear bands International Journal of Engineering Science. ,vol. 29, pp. 949- 960 ,(1991) , 10.1016/0020-7225(91)90168-3
C. Zener, J. H. Hollomon, Effect of Strain Rate Upon Plastic Flow of Steel Journal of Applied Physics. ,vol. 15, pp. 22- 32 ,(1944) , 10.1063/1.1707363