Special Issue "Applied Mathematics and Mechanics"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (30 April 2016).
Interests: Fluid; thermal; solid; fracture mechanics; constitutive models for modern materials; thermodynamics; homogenization theory; multiscale and stochastic approaches; computational mechanics
Special Issues and Collections in MDPI journals
Special Issue in Mathematics: Applied Mathematics and Mechanics 2019
Advances in technology and materials science have required constitutive modeling of modern materials and the formulation of the computational tools necessary for their analysis. For example, many new designs, such as microelectromechanical and nanoelectromechanical systems (MEMS and NEMS), smart materials, and multi-functional materials, are inherently multiphysical and require rigorous constitutive modeling. Successful experimental demonstrations of negative electrical permittivity, magnetic permeability, effective elastic moduli, and mass density in the so-called metamaterials and extreme solids are other examples that emphasize the importance of classical applied mechanics fields, such as continuum mechanics, in recent years. Of particular importance have been multiscale and homogenization approaches, given the role of specific microstructural designs on the response of modern materials. There has also been a greater emphasis on non-deterministic approaches, given the higher sensitivity of the aforementioned materials to design deviations and the importance of stochastic distribution on small scale features in overall response (for example, in fracture mechanics and turbulence). Such advances have in turn necessitated the formulation of computational methods capable of the efficient and accurate rendering of these material models. Multiscale and high-order methods, rigorous analysis of numerical errors and efficiency, homogenization schemes, and efficient approaches for the solution of stochastic partial differential equations are but a few of the relevant topics.
Dr. Reza Abedi
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- Solid mechanics
- Fluid mechanics
- Thermal mechanics
- Fracture mechanics
- Continuum mechanics
- Constitutive models for modern materials
- Multiphysics problems
- Multiscale methods
- Stochastic partial differential equations
- Computational mechanics including error and efficiency analysis
- Finite element methods