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Limit analysis on evaluation of lateral resistance of partially embedded pipes with frictional pipe-soil interface
The occurrence of controlled lateral buckling in unde rwater pipes maybe an eficient mechanism in order to relief high compressive stresses developed along its length.Thus,modelling this phenomenon is worthy to evaluate its formation.In the developed model the pipe is treated as arigid body partially embedded on a deformable soil mass and in order to move laterally,the pipe must over come the soil resistance and the friction between the soil and structure.This phenomenon is modeled under límit analysis theory and finite element method.Since the pipe moviment is known,a límit analysis formulation with prescribed velocities is proposed as an alternative to the force prescription model.Moreover,the friction dissipation is included in to límit analysis formulation.From límit analysis contínuum formulation,the discretized formulation is derived under2-D plane strain finite elements and the optimum conditions are solved by contraction and relaxation techniques and Quasi-Newton method.The contact problema is solved by condensation techniques and a complementary problema is solved by Lemke algorithm.By these techniques,the soil lateral resistance is evaluated and compared to friction less solutions found in literature.Afterwads,the influence of friction coeficient between pipe and soil is considered in horitzontal force calculation.
Limit analysis on evaluation of lateral resistance of partially embedded pipes with frictional pipe-soil interface
The occurrence of controlled lateral buckling in unde rwater pipes maybe an eficient mechanism in order to relief high compressive stresses developed along its length.Thus,modelling this phenomenon is worthy to evaluate its formation.In the developed model the pipe is treated as arigid body partially embedded on a deformable soil mass and in order to move laterally,the pipe must over come the soil resistance and the friction between the soil and structure.This phenomenon is modeled under límit analysis theory and finite element method.Since the pipe moviment is known,a límit analysis formulation with prescribed velocities is proposed as an alternative to the force prescription model.Moreover,the friction dissipation is included in to límit analysis formulation.From límit analysis contínuum formulation,the discretized formulation is derived under2-D plane strain finite elements and the optimum conditions are solved by contraction and relaxation techniques and Quasi-Newton method.The contact problema is solved by condensation techniques and a complementary problema is solved by Lemke algorithm.By these techniques,the soil lateral resistance is evaluated and compared to friction less solutions found in literature.Afterwads,the influence of friction coeficient between pipe and soil is considered in horitzontal force calculation.
Limit analysis on evaluation of lateral resistance of partially embedded pipes with frictional pipe-soil interface
Figueiredo, Fabio C. (author) / Borges, Lavinia A. (author) / Pontes, Ivaldod.S. (author) / Costa, Lícia (author)
2015-01-01
Conference paper
Electronic Resource
English
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits , Frictional interface , Elements finits , Canonades -- Models matemàtics , Soil lateral resistance , Pipelines--Mathematical models , Limit Analysis , Plasticity -- Mathematical models , Mètode dels , Plasticitat -- Models matemàtics , Finite element method
DDC:
690
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