Analytical and Numerical Methods for Linear and Nonlinear Analysis of Structures at Macro, Micro and Nano Scale

Dear Colleagues,

The mathematical models of physical phenomena are based on the fundamental scientific laws of physics.  Mathematical models consist of a combination of algebraic and differential (sometimes even integral) equations. Mathematical models of structural elements (e.g., beams, plates, and shells) based on continuum assumption require a proper treatment of the kinematic, kinetic, and constitutive issues accounting for possible sources of non-local and non-classical continuum mechanics concepts and solving associated boundary value problems. The development of mathematical models and their solutions by analytical and numerical methods have been the focus of many researchers. In particular, the mechanical response of ultrasmall structures has received a great deal of attention because of their wide applications in high-tech devices, such as nanoelectromechanical and microelectromechanical systems.

This special issue is aimed at collecting high-quality papers on the latest developments, techniques, and approaches for the modeling and simulation of the mechanical behavior of structures at macro, micro and nano scales. Advanced accurate numerical and analytical methods to solve PDEs are of high interest. The vibrational response, buckling instability, wave propagation analysis, and static deformation of macro, micro and nano scales’ structural components are covered in this special issue.

Dr. Krzysztof Kamil Żur
Dr. Jinseok Kim
Prof. Dr. J. N. Reddy
Guest Editors

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