Many advanced materials with great potential to benefit our daily life will take a long time to become reality before the advances in modeling and design-led experimentation become mature and make the design-make-test cycle meet the market demand . One of the challenges in modeling the structural behavior of many of these advanced materials is that they cannot be modeled accurately by the theory of linear elasticity even at small strains for not having a well-defined yield point or an almost-linear portion in their stress-strain curves. Nonlinear material effects in the design and manufacturing industries such as those involving micro electro mechanical systems (MEMS) and nano electro mechanical systems (NEMS) are being seriously considered , , ). More realistic models which can capture the behavior of the micro-scale systems accurately are desired and interdisciplinary research involving mathematicians are suggested (). A comprehensive design guide (www.aisc.org/designguides) of stainless steel in structural applications with U.S. specification appeared in 2013 after its discovery 100 years go (, ). The purpose of this proposal consists of two parts: the first is to validate some of the solutions found by the team members for some simple lumped spring–mass models and Euler-beam/ring models experimentally and apply them to design of the structural elements (see 2.3 below); the second is to establish more sophisticated models for structure elements with applications in energy and biomedical devices, to solve for analytic/semi-analytic and numerical solutions of the models, to validate the solutions by experiments, and to develop design guide, formulas, charts, and software for the elements. The design guide will be for applications in energy and biomedical industries. Development of such kind of work will help build more complete guide for design of such structural elements and shorten the designmake- test cycle in the industries. Multifunctional pressure sensors under the deformations of compression, bending, stretching, and torsion made of advanced nonlinear materials, such as graphene and polyimide, are being actively studied and the associated challenge in modeling and simulations of the intended application device structural deformations unfold itself as the next step before the new devices can be put in the market , see e.g., . A comprehensive discussion of the simulation software for MEMS Mechanical sensors and their limitations for modeling nonlinear materials devices are listed in . A review of the state of the art for types of MEMS sensors and the materials used from them can be found in . Our goal is to provide accurate and efficient device structural models with efficient numerical simulation aiming to help design and optimize structural components in the modern pressure and strain sensors made of the modern nonlinear materials. For specific devices under consideration, we will consider the devices listed in -.
|Effective start/end date||2/1/17 → 1/2/20|
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