Multibody Systems with Flexible Elements, 2nd Edition

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 31 December 2026 | Viewed by 1340

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Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania
Interests: differential equations; partial differential equations; equations of evolution; integral equations; mixed initial-boundary value problems for PDE; termoelasticity; media with microstretch; environments goals; nonlinear problems
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Dear Colleagues,

Multibody systems with flexible elements represent mechanical systems made by many elastic (and rigid) bodies interconnected meeting a functional, technical or biological assembly. The displacements of each or some of the elements of the system are generally large and cannot be neglected in mechanical modeling. The systematic treatment of the dynamic behavior of interconnected bodies has led to an important number of formalisms for multibody systems within mechanics. At present, this formalism is used in large engineering fields, especially in robotics and vehicle dynamics. The formalism of multicorp systems offers a means of algorithmic analysis, assisted by the computer, and a means of simulating and optimizing an arbitrary movement of a possible high number of elastic bodies in the connection. The domain where researchers apply these methods are robotics, simulation in the dynamics of vehicles, biomechanics, aerospace engineering (helicopters, the behavior of cars in the gravitational field), engines with internal combustion, gearboxes, transmissions, mechanisms, the cellulose industry, simulation of particle behavior (granulated particles and molecules), dynamic simulation, military applications, computer games, medicine, and rehabilitation.

Isotropy and homogeneity of the Euclidian space and the homogeneity of the time leads to conservation laws and symmetry of differential evolution equations that describe the behavior of such mechanical systems.

Prof. Dr. Sorin Vlase
Prof. Dr. Marin Marin
Prof. Dr. Maria Luminița Scutaru
Guest Editors

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Keywords

  • multibody systems
  • robotics
  • vehicle dynamics
  • Euclidian space
  • symmetry/asymmetry

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Published Papers (1 paper)

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Research

19 pages, 4086 KB  
Article
Fatigue Life Estimation of Pressurized Pipelines Using XFEM: Elastic vs. Plastic Regimes
by Aya Barkaoui, Mohammed El Moussaid, Hassane Moustabchir, Sorin Vlase and Maria Luminita Scutaru
Symmetry 2025, 17(11), 1948; https://doi.org/10.3390/sym17111948 - 13 Nov 2025
Cited by 1 | Viewed by 772
Abstract
This study investigates the fatigue behavior of pressurized pipelines under cyclic internal pressure, focusing on the influence of elastic and elastoplastic material responses on crack propagation. The Extended Finite Element Method (XFEM), implemented in Abaqus 2002, is used to model crack initiation and [...] Read more.
This study investigates the fatigue behavior of pressurized pipelines under cyclic internal pressure, focusing on the influence of elastic and elastoplastic material responses on crack propagation. The Extended Finite Element Method (XFEM), implemented in Abaqus 2002, is used to model crack initiation and propagation without remeshing. The analysis first considers elastic behavior to estimate maximum stresses and stress intensity factors (SIFs) at crack tips, and then introduces an elastoplastic model to account for local plastic deformation in regions of high stress concentration, improving fatigue life prediction accuracy. The numerical approach is coupled with the Basquin and Manson–Coffin fatigue models and supported by a test matrix varying internal pressure amplitudes to systematically evaluate parameter interactions. The novelty of this work lies in the systematic study of the interaction between internal pressure, material nonlinearity, plastic zone evolution, crack closure, and fatigue life estimation. Unlike previous studies, the analysis includes detailed comparisons with analytical predictions and validated experimental data from the literature, ensuring the reliability of the model. The results show significant differences between the elastic and elastoplastic regimes: under 12 MPa, the maximum stress reached 352.5 MPa and fatigue life was 1639 cycles, while under 28 MPa, stress increased to 850 MPa and life dropped to a single cycle. These findings highlight the critical role of plastic deformation in fatigue crack growth and demonstrate that neglecting plasticity can greatly overestimate pipeline durability, providing a more realistic assessment of structural integrity in pressurized systems. Full article
(This article belongs to the Special Issue Multibody Systems with Flexible Elements, 2nd Edition)
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