UNIVERSAL MOTIONS FOR A CLASS OF VISCOELASTIC MATERIALS OF DIFFERENTIAL TYPE

被引:26
作者
BEATTY, MF
ZHOU, Z
机构
[1] Department of Engineering Mechanics, University of Nebraska-Lincoln, Lincoln, 68588-0347, NE
[2] Department of Mechanical Engineering, Potomac State College of West Virginia University, Keyser, 26726, WV
关键词
D O I
10.1007/BF01135335
中图分类号
O414.1 [热力学];
学科分类号
摘要
Universal quasi-static motions for a class of incompressible, viscoelastic materials of differential type are examined. These time dependent motions are similar to corresponding static universal deformations well-known for incompressible, isotropic elastic materials. General details are illustrated for the pure torsion problem, and specific results and physical effects are provided for the viscoelastic Mooney-Rivlin model.
引用
收藏
页码:169 / 191
页数:23
相关论文
共 17 条
[1]  
Ericksen J.L., Deformations possible in every compressible, isotropic, perfectly elastic material, J. Math. Phys., 34, pp. 126-128, (1955)
[2]  
Ericksen J.L., Deformations possible in every isotropic, incompressible, perfectly elastic body, ZAMP, 5, pp. 466-489, (1954)
[3]  
Klingbeil W., Shield R.T., On a class of solutions in plane finite elasticity, ZAMP, 17, pp. 489-501, (1966)
[4]  
Singh M., Pipkin A.C., Note on Ericksen's problem, ZAMP, 16, pp. 706-709, (1965)
[5]  
Singh M., Pipkin A.C., Controllable states of elastic dielectrics, Arch. Rational Mech. Anal., 21, pp. 169-210, (1966)
[6]  
Beatty M.F., Topics in finite elasticity: Hyperelasticity of Rubber, Elastomers, and Biological Tissues—with examples, Applied Mechanics Reviews, 40, pp. 1699-1734, (1987)
[7]  
Truesdell C., Noll W., The nonlinear field theories of mechanics. Flügge's Handbuch der Physik III/3, (1965)
[8]  
Carroll M.M., Controllable deformations of incompressible simple materials, Int. J. Engng. Sci., 5, pp. 515-525, (1967)
[9]  
Coleman B.D., Truesdell C.A., Homogeneous motions of incompressible materials, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 45, pp. 547-551, (1965)
[10]  
Christensen R.M., On obtaining solutions in nonlinear viscoelasticity, Journal of Applied Mechanics, 35, pp. 129-133, (1968)