Tall buildings by their nature are computationally intensive to analyze. They consist of thousands of degrees of freedom and when subjected to strong ground motion from a nearby source, exhibit inelastic response. Modeling this inelastic response requires an iterative approach t…
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This study presents a new three-dimensional (3D) micromechanics-based nonlinear framework for the analysis of pultruded composite structures. The proposed material modeling framework is a nested micromechanical approach that explicitly recognizes the different composite systems …
Nonlinear analysis and optimization: a conference in celebration of Alex Ioffe's 70th …
by Ioffe, Aleksandr Davidovich, Reich, Simeon, Leizarowitz, A., (Arie), Conference on Nonlinear Analysis and Optimization, Haifa (Israel))
fromContemporary mathematics (American Mathematical Society)
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Type: Book
This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and Jordan's separation theorem.
This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory di…
Aiming to present a self-contained account of the present state of knowledge of the theory of the non-linear superposition operators - a generalization of the notion of functions - this book diverges from classical nonlinear analysis and is applicable to operators in a variety o…
Nonlinear partial differential equations
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Type: Book