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The finite-element method (FEM) is a numerical method for solving partial differential equations (PDEs). In the field of nano-optical devices, finite-element methods are mainly used for simulations of optical effects and optical device properties. The relevant models in this case are Maxwell’s equations in various formulations. Overview of Computational Methods in Nanotechnology 1 Orion Ciftja and Sarhan M. Finite Element Method for Nanotechnology Applications in Nano-/Microelectronics 19 Jing Zhang 3. Modeling, Design, and Simulation of N/MEMS by Integrating Finite Element, Lumped Element, and System Level Analyses 41.

• Computational Finite Element Methods In Nanotechnology Pdf File Download

Computational Finite Element Methods in Nanotechnology demonstrates the capabilities of finite element methods in nanotechnology for a range of fields.Bringing together contributions from researchers around the world, it covers key concepts as well as cutting-edge research and applications to inspire new developments and future interdisciplinary research. In particular, it emphasizes the importance of finite element methods (FEMs) for computational tools in the development of efficient nanoscale systems.

The book explores a variety of topics, including:

• A novel FE-based thermo-electrical-mechanical-coupled model to study mechanical stress, temperature, and electric fields in nano- and microelectronics
• The integration of distributed element, lumped element, and system-level methods for the design, modeling, and simulation of nano- and micro-electromechanical systems (N/MEMS)
• Challenges in the simulation of nanorobotic systems and macro-dimensions
• The simulation of structures and processes such as dislocations, growth of epitaxial films, and precipitation
• Modeling of self-positioning nanostructures, nanocomposites, and carbon nanotubes and their composites
• Progress in using FEM to analyze the electric field formed in needleless electrospinning
• How molecular dynamic (MD) simulations can be integrated into the FEM
• Applications of finite element analysis in nanomaterials and systems used in medicine, dentistry, biotechnology, and other areas

Mediator 9 crack serial numbers. The book includes numerous examples and case studies, as well as recent applications of microscale and nanoscale modeling systems with FEMs using COMSOL Multiphysics^® and MATLAB^®. A one-stop reference for professionals, researchers, and students, this is also an accessible introduction to computational FEMs in nanotechnology for those new to the field.

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chapter Computational Finite Element Methods In Nanotechnology Pdf File Download

chapter 1428 pages

chapter 1625 pages

0957-4484/13/4/315

Abstract

Stress analysis facilitates the optimal design of micro/nanoelectromechanical system?(MEMS/NEMS) devices for reliability. A finite element method was used to study nanostructures with different geometries and materials. By comparing the load-displacement responses obtained from the modelling and the actual experiments, it was concluded that an elastic model can be used. The numerical model was used to analyse the effect of surface roughness and scratches on stresses. Bending stresses as a function of beam geometry and load location, which is useful for beam design, were obtained. Beams with surface roughness in the form of semicircular and grooved asperities and scratches with various aspect ratios were modelled with the load present at the centre of the beam as well as at different offsets. Asperity and scratch locations were also varied so as to ascertain their effect on bending stresses. It was observed that the asperities and scratches increase the bending tensile stresses which could lead to failure of MEMS/NEMS devices. The loading was varied on the beams and the material was assumed to be pure elastic, elastic-plastic and elastic-perfectly plastic to observe the variations in the bending stresses and displacements. The results of the analysis can be useful to designers to develop the most suitable geometry for nanostructures.

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