Engineering Transactions, 29, 1, pp. 153-163, 1981

Crushing of Thin-Walled Strain Rate Sensitive Structures

T. Wierzbicki
Institute of Fundamental Technological Research, Warszawa

W. Abramowicz
Institute of Fundamental Technological Research, Warszawa

A simplifying analysis is presented for evaluating the dynamic crushing strength of thin-walled structures subjected to compressive loading. Three major deformation mechanisms are distinguished and corresponding approximate expressions for the mean curvature rates are derived. Depending on the assumed form of the constitutive equation describing the strain rate properties of the material two alternative formulae are derived for the dynamic correction factor of compressed thin-gauge structures. Indications are given as to how crushing tests should be run in order to validate the theory.

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R. C. DAVIES and C. L. MAGEE, The effect of strain-ate upon the tensile deformation of materials, J. Engng. Materials and Technology, 151-155, April 1975.

W. H. HORTON, S. C. BAILEY and A. M EDWARDS, Nonsymmetric buckle patterns in progressive plastic bucking, Experimental Mech., 6, 9, 433-444, 1966,

W. ABRAMOWICZ and T. WIERZBICKI, A kinematic approach to crushing of shell structures, SAB Paper No. 790992, Proc. 3rd Int. Conf. Vehicle Struct. Mech., Troy, Michigan, 211-223, October 10-12, 1979.

W. ABRAMOWICZ, Simplified crushing analysis of thin-walled columns and beams, this issue of Engng, Trans.

T. WIERZBICKI and T. AKERSTROM, Dynamic crushing of strain rate sensitive box columns, SAB paper No. 770592, Proc. 2nd Int. Conf. Vehicle Struct. Mech., Southfield, Michigan, April 18-20, 1977.

N. AYA and K. TAKAHASHT, Energy absorbing characteristics of vehicle body structure (part I), Transaction of the Society of Automotive Engineers of Japan, No. 7, 1974.

Y. OHOKUB0, T. AKAMSTSU and K. SHIRASAWA, Mean crushing strength of closed-hat section members, SAB Paper No. 740040.

C. L. MAGEE and P. H. THORNTON, Design considerations in energy absorption by structural collapse, SAB Paper No. 780434.

M. YAMAYA arid M. TANI, Energy absorption by the plastic deformation of sheet metal columns with box-shaped cross-sections, Mitsubishi Tech. Rev., 8, 1, 1971.

N. PERRONE, On a simplified method for solving impulsively loaded structures of rate sensitive materials, 1. Appl. Mech., 32, 489-492, 1965.

G. R. COWPER and P. S. SYMONDS, Strain hardening and strain rate effects in the impact loading of cantilever beams, Brown Univ. Tech. Report No, 28, September 1957.

J. D. CAMPBELL and R. H. COOPER, Yield and flow of low-carbon steel at medium strain rates, Proc. Physical Basis of Yield and Fracture, Conf. Proc., 77-87, Inst. Phys. Soc., 1966.

P. S. SYMONDS and C. T. CHON, Approximation techniques for impulsively loading of structures of time-dependent plastic behaviour with finite deflections, Proc. 1st Phys. Con. Series No. 21, December 1974.

W. WOJNO and T. WIERZBICKI, On perturbation solutions for impulsively loaded viscoplastic structures, ZAMP, 30, 1979.

T. WIERZBICKI, CZ. MOLNAR and M. MATOLCSY, Experimental-theoretical correlation of dynamically crushed components of bus frame structure, Proc. Int. FISITA Congress, June 8-10, Budapest 1978.

CS. MOLNAR, Correlation between static and dynamic collapse of compressed thin-walled tubes, this issue of Engng. Trans.

B. MILLS, Dynamic crushing of thin-walled structures with special reference to automobile impact, paper offered to Euromech Colloquium No. 121, Jabłonna, August 26-30, 1979.

J. PROVENSAL, Study of energy absorption in structures made of thin sheet metal, paper presented at Euromech Colloquium No. 121, Jabłonna, August 26-20 1979.

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