Special Issue on Mathematical Modelling of Mechanical Processes and Systems
Description
Mathematical modelling serves as the cornerstone for understanding, predicting, analyzing, and optimizing the behaviour of mechanical systems and processes across a vast spectrum of engineering applications. From the design of robust structures and efficient machines to the simulation of complex material responses and dynamic interactions, rigorous mathematical descriptions are indispensable.
This Special Issue of Mathematical Models in Engineering aims to bring together cutting-edge research and showcase the latest advancements in the field of mathematical modeling applied to mechanical engineering. We seek to highlight innovative theoretical frameworks, novel computational techniques, and insightful applications that push the boundaries of current knowledge.
We invite high-quality, original research contributions covering theoretical, computational, and applied aspects of mathematical modelling in mechanics.
This Special Issue welcomes original, unpublished research articles presenting significant theoretical developments, innovative computational methodologies, or impactful applications of mathematical models to solve challenging problems in mechanical engineering. Submissions should demonstrate mathematical rigour and clear relevance to engineering practice. Case studies are welcome provided they offer substantial modelling insights or demonstrate novel applications.
The primary goal of this Special Issue is to provide a premier platform for researchers, scientists, and engineers to disseminate their latest findings, foster collaboration, and underscore the critical role of sophisticated mathematical modelling in advancing the frontiers of mechanical engineering.
Potential topics
- Development and analysis of new mathematical models for mechanical phenomena.
- Solid mechanics: elasticity, plasticity, viscoelasticity, damage mechanics, fracture mechanics.
- Structural mechanics and dynamics: vibrations, stability, structural health monitoring.
- Continuum mechanics and thermodynamics of materials.
- Contact mechanics and tribology.
- Multibody system dynamics.
- Fluid-structure interaction.
- Biomechanics and modeling of biological systems.
- Advanced computational methods: Finite Element Method (FEM), Boundary Element Method (BEM), meshfree methods, isogeometric analysis, reduced-order modeling.
- Numerical simulation of complex mechanical processes.
- Model validation, verification, and uncertainty quantification.
- Optimization and control of mechanical systems based on mathematical models.
Editors
