Numerical Investigation on the Ultimate Strength of Box Beams with Impact Damage

Abstract

The objective of this paper is to study the residual ultimate strength of box beams with impact-induced damage, as a model of what may occur in ship hulls. The bottom and side plates of ship hulls can suffer denting or fracture damage due to grounding, collision and other contacts during the ship’s service life and these impact-induced damages could result in considerable strength degradation. Box beams are firstly subjected to impact loading and then four-point bending loading is imposed on the damaged structures to assess the residual strength using ANSYS/LS_DYNA. The ultimate moment and collapse modes are discussed considering the effect of impact location. The impact-induced deformation is introduced in the four-point bending simulation, and the impact-induced stress is included or not to determine the effect of residual stress and distortion after impact. It is shown that impact location has significant influence on the residual ultimate bending moment of the damaged box beam providing that the impact energy is kept constant. The collapse modes also change when the impactor strikes on different locations. Damaged hard corner and inclined neutral axes might explain the reduction of ultimate strength and diverse collapse modes. The residual stress in the box beam after impact may increase or decrease the ultimate strength depending on impact location.

Keywords

Impact tolerance / Box beam / Four-point bending / Ultimate moment / Impact location

References

[1] Benson S, Abubakar A, Dow RS. A comparison of computational methods to predict the progressive collapse behaviour of a damaged box girder. Eng Struct, 2013, 48: 266-280

[2] Benson S, Syrigou M, Leelachai A, Dow RS (2016) An extended progressive collapse method for damaged ships. In: Cho SR, Shin HK, Choung J, Jung RT (eds) Collision and grounding of ships and offshore structures. Society of Naval Architects of Korea, Korea, pp 311–318

[3] Caldwell JB. Ultimate longitudinal strength. Trans RINA, 1965, 107: 411-430

[4] Cho SR, Yoon SH, Park SH, Song SU. Cho SR, Shin HK, Choung J, Jung RT. Collision damage and residual strength of box girders. Collision and grounding of ships and offshore structures, 2016, Korea: Society of Naval Architects of Korea, 325-333

[5] Dow RS, Hugill RC, Clark JD, Smith CS (1981) Evaluation of ultimate ship hull strength. SNAME Symposium on Extreme Loads Response, Arlington: 133–148

[6] Dow RS (1991) Testing and analysis of 1/3-scale welded steel frigate model. Proc. International Conference on Advances in Marine Structures. Dunfermline, Scotland: 749–973

[7] Ehlers S. Strain and stress relation until fracture for finite element simulations of a thin circular plate. Thin-Walled Struct, 2010, 48: 1-8

[8] Gaspar B, Teixeira AP, Guedes Soares C, Wang G. Assessment of IACS-CSR implicit safety levels for buckling strength of stiffened panels for double hull tankers. Mar Struct, 2011, 24(4): 478-502

[9] Gordo JM, Guedes Soares C. Faulkner D, Cowling MJ, Incecik A. Approximate load shortening curves for stiffened plates under uniaxial compression. Integrity of offshore structures, 1993, Glasgow: EEMAS, 189-211

[10] Gordo JM, Guedes Soares C. Cassella PSA, Festinese G. Residual strength of damaged ship hulls. Proc of the IX International Maritime Association of Mediterranean Congress (IMAM 2000), Ischia, Italy, 2000, 79-86

[11] Gordo JM, Guedes Soares C. Guedes Soares C, Das PK. Experimental evaluation of the behaviour of a mild steel box girder under bending moment. Advancements in marine structures, 2007, London: Taylor & Francis Group, 377-383

[12] Gordo JM, Guedes Soares C. Tests on ultimate strength of hull box girders made of high tensile steel. Mar Struct, 2009, 22(4): 770-790

[13] Gordo JM, Guedes Soares C. Experimental analysis of the effect of the frame spacing variation on the ultimate bending moment of box girders. Mar Struct, 2014, 37: 111-134

[14] Gordo JM, Guedes Soares C. Experimental evaluation of the ultimate bending moment of a slender thin-walled box girder. J Offshore Mech Arctic Eng, 2015, 137(2): 021604

[15] Guedes Soares C, Dogliani M, Ostergaard C, Parmentier G, Pedersen PT. Reliability based ship structural design. Trans Soc Naval Architects Mar Eng, 1996, 104: 357-389

[16] Hussein AW, Guedes Soares C. Guedes Soares C, Fricke W. Reliability assessment of intact and damaged bulk carriers. Advances in marine structures, 2011, London: Taylor & Francis Group, 679-690

[17] Jones N (1981) Structural impact. Cambridge University Press

[18] Luís RM, Teixeira AP, Guedes Soares C. Longitudinal strength reliability of a tanker hull accidentally grounded. Struct Saf, 2009, 31(3): 224-233

[19] Lin Z, Zhu L, Liu JH, Guedes Soares C. Parunov J, Guedes Soares C. Progressive collapse analyses of a stiffened box-girder under pure bending. Trends in analysis and design of marine structures, 2019, London: Taylor & Francis Group, 158-164

[20] Liu B, Guedes Soares C. Simplified analytical method for evaluating web girder crushing during ship collision and grounding. Mar Struct, 2015, 42: 71-94

[21] Liu B, Guedes Soares C. Effect of strain rate on dynamic responses of laterally impacted steel plates. Int J Mech Sci, 2019, 160: 307-317

[22] Liu B, Villavicencio R, Guedes Soares C. On the failure criterion of aluminum and steel plates subjected to low-velocity impact by a spherical indenter. Int J Mech Sci, 2014, 80: 1-15

[23] Liu B, Villavicencio R, Guedes Soares C. Simplified method for quasi-static collision assessment of a damaged tanker side panel. Mar Struct, 2015, 40: 267-288

[24] Liu B, Villavicencio R, Zhang S, Guedes Soares C. Assessment of external dynamics and internal mechanics in ship collisions. Ocean Eng, 2017, 141: 326-336

[25] Liu B, Villavicencio R, Zhang S, Guedes Soares C. A simple criterion to evaluate the rupture of materials in ship collision simulations. Mar Struct, 2017, 54: 92-111

[26] Liu K, Liu B, Villavicencio R, Wang Z, Guedes Soares C. Assessment of material strain rate effects on square steel plates under lateral dynamic impact loads. Ships Offshore Struct, 2018, 13(2): 217-225

[27] Nishihara S. Ultimate longitudinal strength of midship cross section. Naval Architect Ocean Eng, 1984, 22: 200-214

[28] Notaro G, Kippenes J, Amlashi H, Russo M, Steen E (2010) Residual hull girder strength of ships with collision or grounding damages, Proc. 11th International Symposium on Practical Design of Ships and Other Floating Structures, Rio de Janeiro, Brazil

[29] Prestileo A, Rizzuto E, Teixeira AP, Guedes Soares C. Bottom damage scenarios for the hull girder structural assessment. Mar Struct, 2013, 33: 33-55

[30] Parunov J, Guedes Soares C. Effects of Common Structural Rules on hull-girder reliability of an Aframax oil tanker. Reliab Eng Syst Saf, 2008, 93(9): 1317-1327

[31] Pollalis C, Samuelides M. Amdahl J, Ehlers S, Leira BJ. Ultimate strength of damaged hulls. Collision and grounding of ships and offshore structures, 2013, London: Taylor & Francis Group, 297-304

[32] Putranto T, Kõrgesaar M. Numerical study on the structural behavior of intact and damaged box beams under four-point bending load, In: Guedes Soares C (ed), Developments in the collision and grounding of ships and offshore structures, 2020, London: Taylor & Francis Group, 139-143

[33] Reckling KA (1979) Behavior of box girders under bending and shear. Proceedings of the 7th International Ship and Offshore Structures Congress (ISSC). Paris, France: II.2. 46-49

[34] Smith CS (1977) Influence of local compressive failure on ultimate longitudinal strength of a ship’s hull. Proc. of 3rd International Symposium on practical Design in shipbuilding. Tokyo:73–79

[35] Sedlacek G, Müller C. High strength steels in steel construction. Niobium: science and technology, 2001, Orlando: TMS: The Minerals, Metals and Materials Society

[36] Saad-Eldeen S, Garbatov Y, Guedes Soares C (2010) Experimental assessment of the ultimate strength of a box girder subjected to four-point bending moment. Proc. of the 11th International Symposium on Practical Design of Ships and other Floating Structures (PRADS2010)

[37] Villavicencio R, Guedes Soares C. Numerical modelling of laterally impacted plates reinforced by free and end connected stiffeners. Eng Struct, 2012, 44: 46-62

[38] Villavicencio R, Kim Y-H, Cho S-R, Guedes Soares C. Deformation process of web girders inside of a small-scale laterally impacted tanker double hull structure. Mar Struct, 2013, 32: 84-112

[39] Villavicencio R, Guedes Soares C. Guedes Soares C, Lopez Pena F. Analysis of collisions between tugs and tankers. Developments in maritime transportation and exploitation of sea resources, 2014, London: Taylor & Francis Group, 405-414

[40] Xu MC, Teixeira AP, Guedes Soares C. Reliability assessment of a tanker using the model correction factor method based on the IACS-CSR requirement for hull girder ultimate strength. Probabilist Eng Mechan, 2015, 42: 42-53