The article presents mathematical models for calculating of main pipelines under repeated static and dynamic loading, taking into account accumulation of damage of materials. Based on deformation theory and the Hamilton-Ostrogradsky variational principle, a system of differential equations of motion (equilibrium) under spatially variable loading with corresponding boundary and initial conditions is obtained. To describe the elastic-plastic properties, the generalized Masing principle and the cyclic deformation diagram are used, taking into account secondary plastic deformations, the manifestation of the properties of hardening-softening and cyclic anisotropy. To solve the boundary value problem, the central difference scheme of the second order of accuracy and the Godunov matrix run method are used. On the basis of the developed algorithm for comparative analysis, numerical values of the displacement vector and forces under repeated static loads are given.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Modeling of elastic-plastic deformation of main pipelines under repeated static and dynamic loading


    Contributors:

    Conference:

    INTERNATIONAL SCIENTIFIC CONFERENCE “INTERNATIONAL TRANSPORT SCIENTIFIC INNOVATION”: ITSI-2021 ; 2021 ; Moscow, Russia


    Published in:

    Publication date :

    2023-05-16


    Size :

    9 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English




    Correlation between Resilient Modulus and Plastic Deformation for Cohesive Subgrade Soil under Repeated Loading

    Yang, Shu-Rong / Huang, Wei-Hsing / Liao, Chi-Chou | Transportation Research Record | 2008


    Fracture response of pipelines subjected to large plastic deformation under tension

    Jayadevan, K.R. / Ostby, Erling / Thaulow, Christian | Tema Archive | 2004


    Fracture response of pipelines subject to large plastic deformation under bending

    Ostby, Erling / Jayadevan, K.R. / Thaulow, Christian | Tema Archive | 2005


    Permanent Deformation and Critical Stress of Cohesive Soil under Repeated Loading

    Yang, Shu-Rong / Huang, Wei-Hsing | Transportation Research Record | 2007