Abstract
In the present study, an analytical model is presented for predicting different deformation modes (mode I–IV) that a rigid-plastic clamped beam may undergo when struck symmetrically by a rigid projectile having a finite width. Herein, the plastic deformation (mode I) of the beam is modeled using three basic phase of motion (phase 1–3) and the material failure (mode II–IV) is predicted using an energy criterion. The derived analytical model is validated via numerical solutions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Stronge WJ, Yu TX (1993) Dynamic models for structural plasticity. Springer, New York
Parkes EW (1958) The permanent deformation of an encastré beam struck transversely at any point in its span. Proc Inst Civ Eng 10:227–304
Nonaka T (1967) Some interaction effects in a problem of plastic beam dynamics—Part 1: Interaction analysis of a rigid, perfectly plastic beam. J Appl Mech 34(3):623–630
Menkes SB, Opat HJ (1973) Broken beams. Exp Mech 13:480–486
Liu J, Jones J (1987) Experimental investigation of clamped beams struck transversely by a mass. Int J Impact Eng 6(4):303–335
Yu J, Jones N (1991) Further experimental investigations on the failure of clamped beams under impact loads. Int J Solids Struct 27(9):1113–1137
Symonds P, Mentel T (1958) Impulsive loading of plastic beams with axial constraints. J Mech Phys Solids 6(3):186–202
Jones N (1971) A theoretical study of the dynamic plastic behavior of beams and plates with finite-deflections. Int J Solids Struct 7(8):1007–1029
Symonds P, Jones N (1972) Impulsive loading of fully clamped beams with finite plastic deflections and strain-rate sensitivity. Int J Mech Sci 14(1):49–69
Liu J, Jones N (1988) Dynamic response of a rigid plastic clamped beam struck by a mass at any point on the span. Int J Solids Struct 24(3):251–270
Jones N (1976) Plastic failure of ductile beams loaded dynamically. J Eng Ind 98(1):131–136
Shen WQ, Jones N (1992) A failure criterion for beams under impulsive loading. Int J Impact Eng 12(1):101–121
Shen WQ, Jones N (1993) Dynamic plastic response and failure of a clamped beam struck transversely by a mass. Int J Solids Struct 30(12):1631–1648
Wen H, Reddy TY, Reid SR (1995) Deformation and failure of clamped beams under low speed impact loading. Int J Impact Eng 16(3):435–454
Jones N, Shen WQ (2010) Criteria for the inelastic rupture of ductile metal beams subjected to large dynamic loads. In: Jones N, Wierzbicki T (eds) Structural crashworthiness and failure. Taylor and Francis, London, pp 82–112
Jones N (2011) Structural impact. Cambridge University Press, Cambridge
Hibbitt D, Karlsson B, Sorensen P (2011) Abaqus 6.11: a computer software for finite element analysis. Dassault Systems Simulia
Chen F, Yu T (2004) An experimental study of pre-notched clamped beams under impact loading. Int J Solids Struct 41(24–25):6699–6724
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Sen, S., Shaw, A. (2019). Analytical Model for Failure of Clamped Beam Subjected to Projectile Impact. In: Rao, A., Ramanjaneyulu, K. (eds) Recent Advances in Structural Engineering, Volume 2. Lecture Notes in Civil Engineering , vol 12. Springer, Singapore. https://doi.org/10.1007/978-981-13-0365-4_14
Download citation
DOI: https://doi.org/10.1007/978-981-13-0365-4_14
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0364-7
Online ISBN: 978-981-13-0365-4
eBook Packages: EngineeringEngineering (R0)