# Special Issue "Applied Mathematics and Mechanics 2017"

A special issue of *Mathematics* (ISSN 2227-7390).

Deadline for manuscript submissions: **closed (31 December 2017)**.

## Special Issue Editors

**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

**Interests:**Wave propagation; lattices; metamaterials; granular media; computational mechanics; solid mechanics

## Special Issue Information

Dear Colleagues,

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

*Guest Editors*

**Manuscript Submission Information**

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. *Mathematics* is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

## Keywords

Solid mechanics

Fluid mechanics

Thermodynamics

Fracture mechanics

Continuum mechanics

Constitutive models for modern materials

Multiphysics problems

Homogenization

Multiscale methods

Stochastic partial differential equations

Computational mechanics including error and efficiency analysis

Finite element methods

Metamaterials

Wave propagation

Granular media

Instabilities in solids

Acoustics and ultrasonics

Smart materials