Viscoelastic hinge formation in beams

Acta Mechanica

Volumn 140, Issue 3, 2000, Pages 183-205

  Wineman, A ^a   Min, J H ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING MOMENTS; CANTILEVER BEAMS; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL METHODS; POLYCARBONATES; STRAIN; STRESS ANALYSIS; STRESS RELAXATION; STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

NONLINEAR VISCOELASTICITY; PLASTIC HINGE; VISCOELASTIC HINGE FORMATION;

VISCOELASTICITY;

EID: 0033686262     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01182510     Document Type: Article

References (14)

1. Shay, R. M. Jr., Caruthers, J. M.: A new nonlinear viscoclastic constitutive equation for predicting yield in amorphous solid polymers. J. Rheology 30, 781-827 (1986).
2. Knauss, W. G., Emri, I. J.: Nonlinear viscoelasticily based on free volume consideration. Comput. Struct. 13, 123-128 (1981).
3. Knauss, W. G., Emri, I. J.: Volume change and the nonlinear thermo-viscoelastic constitution of polymers. Polymer Engng. Sci. 27, 86-100 (1987).
4. Wineman, A. S., Waldron, W. K. Jr.: Interaction of nonhomogeneous shear, nonlinear viscoelasticity and yield of a solid polymer. Polymer Engng. Sci. 33, 1217-1228 (1993).
5. Wineman, A. S., Min, J. H.: Biaxial yield for nonlinearly viscoelastic material with a strain clock. Mechanics of Time-Dependent Materials 2, 37-58 (1998).
6. McKenna, G. B., Zapas, L. J.: Nonlinear viscoelastic behavior of poly(methylmethacrylate) in torsion. J. Rheology 23, 151-166 (1979).
7. Moran, B., Knauss, W. G.: Crack-lip stress and deformation fields in strain softening nonlinearly viscoelastic materials. J. Appl. Mech. 59, 95-101 (1992).
8. Wineman, A. S., Waldron, W. K. Jr.: Shear and normal stress effects in finite circular shear of a compressible nonlinear viscoelastic solid. J. Non-linear Mech. 31, 345-369 (1996).
9. Wineman, A. S., Kolberg, R.: Response of beams of nonlinear viscoelastic materials exhibiting strain dependent stress relaxation. Int. J. Non-linear Mech. 32, 863-883 (1997).
10. Wineman, A. S., Min, J. H.: The pressurized cylinder problem for nonlinear viscoelastic materials with a strain clock. Math. Mech. Solids 1, 393-410 (1996).
11. Wineman, A. S., Min, J. H.: The pressurized sphere problem for nonlinear viscoelastic materials with a strain clock. Trans. of the Canadian Society for Mech. Engng 20, 217-232 (1996).
12. Tschoegl, N. W.: The phenomenological theory of linear viscoelastic behavior, pp. 528-532. Berlin: Springer 1989.
13. Staverman, A. J., Schwarzl, F.: Linear deformation behavior of high polymers. In: Die Physik der Hochpolymeren, vol. 4 (Stuart, H. A., ed.) pp. 1-125. Berlin: Springer 1956.
14. Min, J. H.: Dilatation enhanced stress relaxation effects in nonlinear viscoelastic solid polymeric structures. Ph.D.thesis, University of Michigan, Ann Arbor (1995).