Mathematical Models in Mechanics and Engineering

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 October 2025 | Viewed by 470

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Instituto de Investigaciones Multidisciplinaria, Universidad Autónoma de Coahuila, Torreón 27000, Coahuila, Mexico
Interests: structural engineering; mechanical engineering; civil engineering; mathematical models; engineering; applied and computational mathematics
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Special Issue Information

Dear Colleagues,

Mathematical models are involved in various scientific developments, and more specifically in structural and mechanical engineering projects.

This Special Issue entitled “Mathematical Models in Mechanics and Engineering” aims to showcase the latest scientific advances and practical applications using computational techniques in various fields of mechanics and civil engineering.

Topics of interest include, but are not limited to, the following:

  1. Advanced numerical models for mechanical and engineering problems;
  2. Applying mathematical models in mechanics and engineering;
  3. Boundary element methods in computational mechanics;
  4. Differential equations applied to engineering problems;
  5. Modeling and numerical experiments in mechanical and civil engineering;
  6. Real and complex analysis of mechanical and engineering problems;
  7. Computational solutions for problems of coupled mechanical systems;
  8. Optimization models for engineering problems;
  9. Deep machine learning applications in computational mechanics;
  10. Structural dynamics and vibration analysis applied to engineering problems.

Prof. Dr. Arnulfo Luévanos-Rojas
Guest Editor

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Keywords

  • mechanical engineering
  • structural and civil engineering
  • mechanics
  • mechanical problems
  • engineered structures
  • engineered systems
  • coupled mechanical systems
  • engineering problems
  • computational mechanics
  • structural dynamics
  • vibration analysis
  • mathematical, computational, and numerical methods

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Published Papers (1 paper)

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Research

20 pages, 1500 KiB  
Article
Mathematical Calculations for the Design of Elliptical Isolated Foundations with Optimal Cost
by Eyran Roberto Diaz-Gurrola, Arnulfo Luévanos-Rojas, Griselda Santiago-Hurtado, Victor Manuel Moreno-Landeros and Aldo Emelio Landa-Gómez
Mathematics 2025, 13(11), 1777; https://doi.org/10.3390/math13111777 - 27 May 2025
Viewed by 254
Abstract
This paper presents an optimal model for the design of elliptical isolated footings subjected to biaxial bending under the minimum cost criterion, assuming that the footing rests on elastic soils and that the soil pressure distribution is linear. The methodology is developed in [...] Read more.
This paper presents an optimal model for the design of elliptical isolated footings subjected to biaxial bending under the minimum cost criterion, assuming that the footing rests on elastic soils and that the soil pressure distribution is linear. The methodology is developed in two parts. The first is used to obtain the minimum area, and the second is used to determine the minimum cost. Some authors show the equations for circular and elliptical footings for moments, bending shear, and punching shear. However, they do not present the minimum cost, and the numerical examples are presented only for circular footings and not for elliptical footings. Two numerical problems are given (each problem presents five variants), and the optimal cost design for elliptical isolated footings subjected to biaxial bending are shown. Problem 1: Modifying the moment on the Y axis. Problem 2: Modifying the axial load. In addition, a comparison is made between elliptical footings and circular footings. The results show that the minimum area is smaller for elliptical footings than for circular footings, and the minimum cost appears in elliptical footings when the footing dimensions are governed by the minimum pressure. Therefore, the new model for elliptical footings will be of great help to foundation engineering specialists. Full article
(This article belongs to the Special Issue Mathematical Models in Mechanics and Engineering)
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