Asymmetry and Symmetry in Dynamical Systems

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: 31 October 2025 | Viewed by 1698

Special Issue Editor


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Guest Editor
College of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, China
Interests: vibration and noise reduction technology for aerospace and marine equipment; vibration and noise reduction technology for nuclear power and thermal power equipment; metal rubber technology for special damping materials

Special Issue Information

Dear Colleagues,

In this Special Issue, we welcome contributions exploring the realm of asymmetry and symmetry in dynamical systems from a fresh perspective, delving into innovative concepts or ideas that shed light on recent advancements in this theory and steering clear of trivial extensions of already consolidated results, preferably accompanied by tangible examples. We urge authors to delve into aspects of structural vibration measurement, nonlinear dynamics, and the stability and controllability of continuous and discrete-time dynamical systems, accentuating the symmetrical or asymmetrical attributes relative to the inherent dynamics.

For instance, the exploration of numerical simulation and methods for the analysis of the stability and controllability of these systems often unveils intricate symmetrical patterns or notable asymmetries, aiding in the profound understanding of underlying mechanics. Similarly, the discussion around numerical methods employed to simulate asymmetrical and symmetrical behaviors in dynamical systems unveils a rich tapestry of insights that can be transformative in engineering applications.

The core objective of this Special Issue is to amass substantial papers that propel the theory of asymmetry and symmetry in dynamical systems forward. It is essential that all submissions align with the overarching theme of Symmetry, delving into the nuanced interplay between asymmetry and symmetry in dynamical systems, thereby enriching the discourse in this field. Following this vein of thought, discussions on numerical methods, structural vibration measurements, and the intricacies between continuous and discrete-time dynamical systems are highly encouraged, although the specifics are left to the discretion of the authors.

We look forward to a robust collection of pioneering research in this Special Issue, promoting a deeper understanding of asymmetry and symmetry in dynamical systems, while adhering to the foundational ethos of Symmetry's scope.

Prof. Dr. Zhiying Ren
Guest Editor

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Keywords

  • nonlinear dynamics
  • structural vibration measurement
  • numerical simulation
  • numerical methods
  • continuous-time dynamical systems
  • discrete-time dynamical systems
  • symmetry
  • controllability
  • stability

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Published Papers (1 paper)

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Research

19 pages, 6324 KiB  
Article
The Influence of the Interface on the Micromechanical Behavior of Unidirectional Fiber-Reinforced Ceramic Matrix Composites: An Analysis Based on the Periodic Symmetric Boundary Conditions
by Wei Yan, Shilun Shi, Longcheng Xiao, Xiulun Li and Jian Xu
Symmetry 2024, 16(6), 695; https://doi.org/10.3390/sym16060695 - 5 Jun 2024
Cited by 1 | Viewed by 1291
Abstract
The long-term periodicity and uncontrollable interface properties during the preparation process for silicon carbide fiber reinforced silicon carbide-based composites (SiCf/SiC CMC) make it difficult to thoroughly investigate their mechanical damage behavior under complex loading conditions. To delve deeper into the influence [...] Read more.
The long-term periodicity and uncontrollable interface properties during the preparation process for silicon carbide fiber reinforced silicon carbide-based composites (SiCf/SiC CMC) make it difficult to thoroughly investigate their mechanical damage behavior under complex loading conditions. To delve deeper into the influence of the interface strength and toughness on the mechanical response of microscopic representative volume element (RVE) models under complex loading conditions, in this work, based on numerical simulation methods, a microscale representative volume element (RVE) with periodic symmetric boundary conditions for the material is constructed. The phase-field fracture theory and cohesive zone model are coupled to capture the brittle cracking of the matrix and the debonding behavior at the fiber/matrix interface. Simulation analysis is conducted for tensile, compressive, and shear loading as well as combined loading, and the validity of the model is verified based on the Chamis theory. Further investigation is conducted into the mechanical response behavior of the microscale RVE model under complex loading conditions in relation to the interface strength and interface toughness. The results indicate that under uniaxial loading, increasing the interface strength leads to a tighter bond between the fiber and matrix, suppressing crack initiation and propagation, and significantly increasing the material’s fracture strength. However, compared to the transverse compressive strength, increasing the interface strength does not continuously enhance the strength under other loading conditions. Meanwhile, under the condition of strong interface strength of 400 MPa, an increase in the interface toughness significantly increases the transverse compressive strength of the material. When it increases from 2 J/m2 to 20 J/m2, the transverse compressive strength increases by 28.49%. Under biaxial combined loading, increasing the interface strength significantly widens the failure envelope space under σ2-τ23 combined loading; with the transition from transverse compressive stress to tensile stress, the transverse shear strength shows a trend of first increasing and then decreasing, and when the ratio of transverse shear displacement to transverse tensile/compressive displacement is −1, it reaches the maximum. This study provides strong numerical support for the investigation of the interface properties and mechanical behavior of SiCf/SiC composites under complex loading conditions, offering important references for engineering design and material performance optimization. Full article
(This article belongs to the Special Issue Asymmetry and Symmetry in Dynamical Systems)
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