Numerical Modeling and Mathematical Optimization in Structural Mechanics

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

Deadline for manuscript submissions: 20 June 2025 | Viewed by 1504

Special Issue Editors


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1. Institute of Concrete Science and Technology (ICITECH), Universitat Politècnica de València, 46022 Valencia, Spain
2. Escuela de Ingeniería en Construcción, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2147, Valparaíso 2362804, Chile
Interests: heuristic optimization; steel-concrete composite structures; life cycle assessment; bridges

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Guest Editor
Escuela de Ingeniería en Construcción, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2147, Valparaíso 2362804, Chile
Interests: optimization; deep learning; operations research; artificial intelligence applications to industrial problems
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Special Issue Information

Dear Colleagues,

We are pleased to announce a Special Issue of the journal Mathematics entitled “Numerical Modeling and Mathematical Optimization in Structural Mechanics”. This Special Issue aims to gather cutting-edge research and innovative methodologies in the field of structural mechanics, with a particular emphasis on numerical modeling and mathematical optimization techniques that have emerged as powerful tools in addressing the increasingly complex challenges faced by engineers and researchers in this domain.

In recent years, numerical modeling and optimization have experienced rapid growth due to advancements in computational resources and mathematical techniques. These tools have proven to be instrumental in analyzing and designing a wide range of structures, from buildings and bridges to aerospace and automotive components. The incorporation of these methods has led to more efficient, accurate, and reliable solutions for structural problems, ensuring enhanced performance, safety, and cost-effectiveness. As the world moves towards more sustainable and environmentally friendly solutions, numerical modeling and optimization techniques offer a pathway to developing structures that are not only efficient and cost-effective but also have a reduced environmental impact. This includes the optimal use of materials, energy efficiency, extending the life span of structures, and minimizing waste. By integrating sustainability considerations into structural design and analysis, we can contribute to a more resilient and resource-efficient built environment.

We encourage submissions that present novel theoretical developments, practical applications, and case studies in structural mechanics. Contributions that demonstrate the integration of numerical modeling with mathematical optimization techniques, as well as interdisciplinary approaches that combine concepts from different fields such as mechanics, mathematics, and computer science, are highly welcomed.

The topics of interest for this Special Issue include, but are not limited to the following:

  • Finite element analysis and applications;
  • Numerical methods in structural mechanics;
  • Optimization algorithms for structural design and analysis;
  • Multiscale and multiphysics modeling of materials and structures;
  • Structural health monitoring and damage detection using numerical techniques;
  • Topology optimization for structural design;
  • Computational mechanics and simulation techniques;
  • Nonlinear analysis and modeling of complex structures;
  • Stochastic modeling, reliability analysis, and risk assessment;
  • Structural dynamics, vibration analysis, and control strategies;
  • Integration of machine learning and artificial intelligence in structural analysis;
  • Fracture mechanics, crack propagation, and failure prediction;
  • Sensitivity analysis, uncertainty quantification, and robustness assessment;
  • Large-scale simulations and high-performance computing in structural mechanics;
  • Recent advances in mathematical optimization methods for structural applications;
  • Sustainable structural design and optimization;
  • Life cycle assessment optimization in structural mechanics;
  • Data-driven optimization;
  • Robust and resilient design;
  • Advanced materials and smart structures;
  • Quantum computational optimization.

We invite you to submit your latest research findings or comprehensive review articles that contribute to the advancement of numerical modeling and mathematical optimization in structural mechanics.

Dr. David Martínez-Muñoz
Dr. José Antonio García
Guest Editors

Manuscript Submission Information

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Keywords

  • numerical modeling
  • mathematical optimization
  • structural mechanics
  • finite element analysis
  • sustainable design
  • topology optimization
  • structural health monitoring
  • computational mechanics
  • nonlinear analysis
  • machine learning
  • stochastic modeling

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Published Papers (1 paper)

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Research

20 pages, 1470 KiB  
Article
Game-Theory-Based Multi-Objective Optimization for Enhancing Environmental and Social Life Cycle Assessment in Steel–Concrete Composite Bridges
by David Martínez-Muñoz, Jose V. Martí and Víctor Yepes
Mathematics 2025, 13(2), 273; https://doi.org/10.3390/math13020273 - 16 Jan 2025
Viewed by 1255
Abstract
The design of bridges must balance sustainability and construction simplicity. A game-theory-based optimization method was applied in this research to find a sustainable steel–concrete composite bridge design. The sustainability was evaluated through cost and environmental and social impact using the Life Cycle Assessment [...] Read more.
The design of bridges must balance sustainability and construction simplicity. A game-theory-based optimization method was applied in this research to find a sustainable steel–concrete composite bridge design. The sustainability was evaluated through cost and environmental and social impact using the Life Cycle Assessment method. The optimization process considered four criteria simultaneously, using a discrete version of the SCA algorithm and a transfer function for discretization. The preferred solutions were selected using the Minkowski distances approach. Results showed a decrease in slab reinforcement and an increase in the amount of steel in the cross-section, leading to only an 8.2‰ increase in cost compared to similar studies. Regarding the cross-section, the geometry obtained considers cells in the upper and lower parts of the webs to improve the bending resistance. The proposed method allows for the simultaneous optimization of multiple criteria and provides a sustainable yet simple bridge design solution. Full article
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