Dynamic buckling of a thin thermoviscoplastic rectangular plate

Thin-Walled Structures

Volumn 43, Issue 2, 2005, Pages 273-290

  Batra, R C ^a   Wei, Z ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Axial loading; Buckling; Instability; Perfectly plastic orthotropic plate

Indexed keywords

BUCKLING; COMPRESSIVE STRENGTH; DEFORMATION; LOADING; PERTURBATION TECHNIQUES; PLASTICITY; STABILITY; STRAIN RATE; VISCOPLASTICITY;

AXIAL LOADING; IN-PLANE LOADS; PERFECTLY PLASTIC ORTHOTROPIC PLATES; THERMOVISCOPLASTIC RECTANGULAR PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 10644240941     PISSN: 02638231     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tws.2004.07.009     Document Type: Article

References (24)

1. Jones N. Structural impact. Cambridge, MA: Cambridge University Press; 1989.
2. Illyshin AA. The elastic plastic stability of plates. NACA TM 1188; 1947.
3. Stowell EZ. A unified theory of plastic buckling of columns and plates. NACA TN 1156; 1948.
4. Bijlaard PP. Theory and tests on the plastic stability of plates and shells. J Aeronaut Sci 1949;9:529-41.
5. Handelman GH, Prager W. Plastic buckling of rectangular plates under edge thrusts. NACA TN 1530; 1948.
6. Pride RA, Heimerl GJ. Plastic buckling of simply-supported compressed plates. NACA TN 1817; 1949.
7. Pearson CE. Bifurcation criterion and plastic buckling of plates and columns. J Aeronaut Sci 1950;7: 417-26.
8. Neale KW. Effect of imperfection on the plastic buckling of rectangular plates. J Appl Mech 1975;42: 115-20.
9. Needleman A, Tvergaard V. An analysis of the imperfection sensitivity of square elastic plastic plates under axial compression. Int J Solids Struct 1976; 12:185-201.
10. Tvergaard V. Rate sensitivity in elastic-plastic panel buckling. In: Sawe DJ et al, editor. Aspects of the analysis of plate structures. Oxford: Clarendon Press; 1985. p. 293-308.
11. Paley M, Aboudi J. Viscoplastic bifurcation buckling of plates. AIAA J 1991;29:627-32.
12. Simitses GJ, Song Y. Thermo-elastoviscoplastic buckling behavior of plates. J Appl Mech 1994;61:169-75.
13. Goodier J.N. Dynamic buckling of rectangular plates and sustained plastic compressive flow, in Engineering Plasticity, Cambridge University Press; 1968: 183-200, Proceedings of an international conference on plasticity held in Cambridge, England, March 1968.
14. Lindberg HE, Florence AL. Dynamic pulse buckling-theory and experiments. Leiden: Martinus Nijhoff; 1987 p. 349-72.
15. Batra RC, Geng TS. Enhancement of the dynamic buckling load for a plate by using piezoceramic actuators. Smart Mater Struct 2001;10:925-33.
16. Batra RC, Geng TS. Comparison of active constrained layer damping by using extension and shear mode actuators. J Intell Mater Struct 2002;13(6):349-67.
17. Hill R. The mathematical theory of plasticity. Oxford: Oxford University Press; 1950.
18. Batra RC, Jaber NA. Failure mode transition speeds in an impact loaded prenotched plate with four thermoviscoplastic relations. Int J Fract 2001;110:47-71.
19. Bai YL. Thermoplastic instability in simple shear. J Mech Phys Solids 1982;30:195-207.
20. Chen L, Batra RC. Effect of material parameters on shear band spacing in work-hardening gradient-dependent thermoviscoplastic materials. Int J Plasticity 1999;15:551-74.
21. Batra RC, Chen L. Instability analysis and shear band spacing in gradient-dependent thermoviscoplastic materials with finite speeds of thermal waves. Arch Mech 2001;53:167-92.
22. Batra RC, Chen L. Effect of viscoplastic relations on the instability strain, shear band initiation strain, the strain corresponding to the minimum shear band spacing, and the band width in thermoviscoplastic materials. Int J Plasticity 2001;17:1465-89.
23. Batra RC, Wei ZG. Shear band spacing in thermoviscoplastic materials. Int J Impact Eng (available online).
24. Wei ZG, Batra RC. Buckling of precompressed elastic plates due to continuous laser heating. In: Librescu L, Marzocca P, editors. Proceedings of the 5th international congress on thermal stress and related topics, Blacksburg, June 2003, paper #MM-1-1.