Computational Mechanics and Applied Mathematics, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 31 May 2026 | Viewed by 387

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Associate Professor, Faculty of Civil Engineering, Transportation Engineering and Architecture, University of Maribor, FGPA, Smetanova 17, 2000 Maribor, Slovenia
Interests: computational mechanics; finite element methods
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Special Issue Information

Dear Colleagues,

Structural engineering and mathematics have always been closely intertwined. Structural engineering deals with mechanics, providing adequate, complex computational models, while mathematics provides computational solution algorithms. Structural analysis is therefore one of the most important and demanding engineering processes, as it combines several processes (proper structural computational model selection, the implementation of mathematical methods, the critical evaluation of the results with the possible modification or upgrade of the computational model and recalculation, and the execution of details following the obtained results), which, although carried out separately, lead to reliable and safe solutions as a whole. The natural synergy between mathematics and mechanics thus provides a powerful tool in computational structural mechanics, allowing engineers to design structures reliably without the need for experiments.

The rapid advancements in computational mechanics in recent decades (both in mathematical models and computational algorithms) have significantly enhanced knowledge through various numerical methods (such as finite volume, finite element, boundary element, and meshless methods) and simulations for various problems in the fields of computational mechanics and engineering. This progress, driven by the simultaneous development of computer technology, has enabled the development of new models and approaches that are more comprehensive, complex (including more information and detail), fast (i.e., computationally more efficient), robust, and accurate.

Nevertheless, there is still room for improvement. Additionally, recent natural disasters have reinforced the need for advanced and thorough constitutive modeling and structural analyses.

Thus, we invite articles for submission to this Special Issue titled “Computational Mechanics and Applied Mathematics, 2nd Edition”. The scope of this Special Issue encompasses research areas related to the application of new mathematical models, methods, or techniques in computational engineering mechanics, including the analytical, semi-numerical, and numerical-based computational modeling and analysis of structural engineering problems. 

Dr. Matjaz Skrinar
Guest Editor

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Keywords

  • computational mechanics
  • structural analysis
  • numerical procedures and mathematical methods

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Published Papers (1 paper)

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Research

13 pages, 825 KB  
Article
On the Particular Dynamics of Rubble-Pile Asteroid Rotation Following Projectile Impact on the Surface During Planetary Approach
by Sergey Ershkov
Mathematics 2025, 13(21), 3412; https://doi.org/10.3390/math13213412 - 27 Oct 2025
Viewed by 168
Abstract
The main motivation of this research is the semi-analytical exploration of the dynamics of an asteroid that is attacked while approaching a planet (with an inelastic collision of the projectile normally to the surface of the asteroid occurring just before approaching). Namely, the [...] Read more.
The main motivation of this research is the semi-analytical exploration of the dynamics of an asteroid that is attacked while approaching a planet (with an inelastic collision of the projectile normally to the surface of the asteroid occurring just before approaching). Namely, the particular case of the spin dynamics of the asteroid that has been struck by a projectile almost perpendicularly to the maximal-inertia principal axis, with further perturbing the dynamics of rotation due to gravitational torques during close approach to the planet, is investigated. The initial surface of the asteroid is assumed to be a rubble pile, but preferably with a quasi-rigid internal structure, with circa constant distances between various parts of the asteroid as a first approximation. As a result of an inelastic collision with the surface of the asteroid, the rubble-pile material should be thrown off the surface into outer space in large amounts; thus, the mass of the asteroid and the moments of inertia along its principal axes should be changed (as well as the regime of angular rotation around its maximal-inertia principal axis). The updated Euler’s equations, stemming from the conservation of angular momentum, have been presented with gravitational torques acting during the approach of the asteroid to the planet (taking into account the impact on the asteroid that occurs just before it enters the zone of close approach). The evolution of the non-linear spin dynamical state is studied, along with kinematical findings for Euler angles via the governing equations, in accordance with two main rotational stages: first, immediately after the impact on the asteroid’s surface; and second, at the regime of asteroid rotation during its close approach to the planet, with perturbations caused by gravitational torques (just after being struck by the projectile). Full article
(This article belongs to the Special Issue Computational Mechanics and Applied Mathematics, 2nd Edition)
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