Special Issue "Applied Mathematics and Mechanics 2017"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 December 2017).
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
Interests: Wave propagation; lattices; metamaterials; granular media; computational mechanics; solid mechanics
The advances in technology and material science have required constitutive modelling of modern materials and the formulation of computational tools necessary for their analyses. For example, many new designs, such as microelectromechanical and nanoelectromechanical systems (MEMS and NEMS), smart materials and multi-functional materials, are inherently multiphysic and require rigorous constitutive modelling. Successful experimental demonstration of negative electrical permittivity, magnetic permeability, effective elastic modulus, and mass density in 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 emphasize in nondeterministic approaches, given the higher sensitivity of the aforementioned materials to design deviations and the importance on the 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 efficient and accurate rendering of these material models. Theoretical and computational tools, including but not limited to multiscale and high-order methods, rigorous analysis of numerical errors and efficiency, homogenization schemes, and efficient approaches for the solution of discrete lattices, periodic media, ordinary, partial and stochastic partial differential equations are a few of the relevant topics.
Prof. Reza Abedi
Dr. Raj Kumar Pal
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Constitutive models for modern materials
Stochastic partial differential equations
Computational mechanics including error and efficiency analysis
Finite element methods
Instabilities in solids
Acoustics and ultrasonics