Limit loads of circumferentially flawed pipes and cylindrical vessels under internal pressure. Staat, M. & Vu, D. K. International Journal of Pressure Vessels and Piping, 83(3):188–196, 2006. ZSCC: 0000015
Limit loads of circumferentially flawed pipes and cylindrical vessels under internal pressure [link]Paper  doi  abstract   bibtex   
Published limit load formulae for circumferential defects overestimate the burst pressure for penetrating defects in pipes by the factor two in the short crack limit, because they only consider axial stress. Therefore, a class of limit load solution is discussed which takes the triaxial state of stress into account. The solutions for pressure loaded crack faces are improved analytically. Primal–dual limit analysis with the finite element method is used to adjust all solutions to numerical results. Limit loads are obtained for circumferential cracks of all sizes in thick-walled cylinders.
@article{staat_limit_2006,
	title = {Limit loads of circumferentially flawed pipes and cylindrical vessels under internal pressure},
	volume = {83},
	copyright = {All rights reserved},
	issn = {03080161},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0308016106000184},
	doi = {10.1016/j.ijpvp.2006.01.002},
	abstract = {Published limit load formulae for circumferential defects overestimate the burst pressure for penetrating defects in pipes by the factor two in the short crack limit, because they only consider axial stress. Therefore, a class of limit load solution is discussed which takes the triaxial state of stress into account. The solutions for pressure loaded crack faces are improved analytically. Primal–dual limit analysis with the finite element method is used to adjust all solutions to numerical results. Limit loads are obtained for circumferential cracks of all sizes in thick-walled cylinders.},
	number = {3},
	journal = {International Journal of Pressure Vessels and Piping},
	author = {Staat, Manfred and Vu, Duc Khoi},
	year = {2006},
	note = {ZSCC: 0000015},
	keywords = {Circumferentially cracked pipe, Global collapse, Limit analysis, Limit load},
	pages = {188--196},
}

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