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Introduction to Finite Element Methods
The textbook at hand offers an introduction to Finite Element Methods from an engineering point of view comprising the basic principles of virtual...
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Finite Element Methods Parallel-Sparse Statics and Eigen-Solutions
This new edition includes three new chapters, 7 through 9, that have very broad, practical applications in engineering and science. In addition, the...
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Finite-Element Methods
The techniques known today as finite-element methods (FEM) date back to work conducted between 1940 and 1960 in the field of structural mechanics....
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Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects
In this article, we will discuss the applications of the Spectral element method (SEM) and Finite element Method (FEM) for fractional calculusThe...
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Stability and Conditioning of Immersed Finite Element Methods: Analysis and Remedies
This review paper discusses the developments in immersed or unfitted finite element methods over the past decade. The main focus is the analysis and...
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Finite Element Formulations
This chapter describes the fundamental concepts of displacement-based finite element formulations. Starting from the basic ideas of structural...
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Comparison of finite element methods for dynamic analysis about rotating flexible beam
Dynamic analysis of flexible body under large rotation becomes increasingly important in many engineering applications. This work takes rotating...
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Introduction to Finite Element Analysis A Textbook for Engineering Students
This textbook covers the basic concepts and applications of finite element analysis. It is specifically aimed at introducing this advanced topic to...
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Semi-reduced order stochastic finite element methods for solving contact problems with uncertainties
This paper develops two-step methods for solving contact problems with uncertainties. In the first step, we propose stochastic Lagrangian...
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Hyper-Elastic Characterization of Polydimethylsiloxane by Optimization Algorithms and Finite Element Methods
This study explores the mechanical properties of incompressible isotropic material polydimethylsiloxane (PDMS) using hyper-elastic constitutive...
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Stability Charts for Fill Slopes Based on Finite Element Limit Analysis Methods
Slope stability assessment is extremely important in geotechnical engineering, as it prevents slope failures and the loss of lives. This paper...
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Compatible interface wave–structure interaction model for combining mesh-free particle and finite element methods
This study presents a novel wave–structure interaction model, which is a compatible interface wave–structure interaction model that is based on...
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A Finite Element Approach for Wave Propagation in Elastic Solids
This book focuses on wave propagation phenomena in elastic solids modelled by the use of the finite element method. Although the latter is a...
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High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations
The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional...
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Static and dynamic analysis of multi-component structures based on multiple point constraint using smoothed finite element methods
The smoothed finite element methods (SFEM) have demonstrated their ability to generate more flexible models, offering increased reliability compared...
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The Finite Element Approach
The finite element method is a numerical procedure for examining structures and continua. Typically, the problem addressed is too complicated to be...
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General Finite Element Methods with Special Focus on NMM
This chapter summarizes the principle and algorithm related to another member of mesh-based method, namely, the NMM that belongs to the category of...
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Finite difference based stress integration algorithm for crystal plasticity finite element method
In this study, we present a Finite Difference Method (FDM)-based stress integration algorithm for Crystal Plasticity Finite Element Method (CPFEM)....
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General Finite Element Methods with Special Focus on XFEM
This chapter summarizes the principles related to a wide spectrum of mesh-based methods that belong to the category of “general finite element...
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Finite Element Domain Decomposition Procedures
A detailed explanation (including examples) of different finite element algorithms based on “divide-and-conquer” strategies (such as classical...