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Concepts and Applications of Finite Element Analysis
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In this article, the authors present a formal notation for one-dimensional elements in structural dynamics and vibrational properties of a structural system, including the following: 1. Isoparametric Elements.Abstract:
Notation. Introduction. One-Dimensional Elements, Computational Procedures. Basic Elements. Formulation Techniques: Variational Methods. Formulation Techniques: Galerkin and Other Weighted Residual Methods. Isoparametric Elements. Isoparametric Triangles and Tetrahedra. Coordinate Transformation and Selected Analysis Options. Error, Error Estimation, and Convergence. Modeling Considerations and Software Use. Finite Elements in Structural Dynamics and Vibrations. Heat Transfer and Selected Fluid Problems. Constaints: Penalty Forms, Locking, and Constraint Counting. Solid of Revolution. Plate Bending. Shells. Nonlinearity: An Introduction. Stress Stiffness and Buckling. Appendix A: Matrices: Selected Definition and Manipulations. Appendix B: Simultaneous Algebraic Equations. Appendix C: Eigenvalues and Eigenvectors. References. Index.read more
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Feature-adaptive motion tracking of ultrasound image sequences using a deformable mesh
TL;DR: The authors use the approach of finite clement analysis in manipulating the irregular mesh elements and propose a novel deformable block matching algorithm, making use of a Lagrange element for higher-order description of local motion.
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A new three-dimensional finite element analysis model of high-speed train–bridge interactions
TL;DR: In this paper, a new finite element model for three-dimensional FE analysis of high-speed train-bridge interactions is proposed, in which various improved finite elements are used for modeling the structural constituents of a railway bridge.
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Non-invasive quantitative reconstruction of tissue elasticity using an iterative forward approach.
TL;DR: An iterative forward finite element approach has been developed to reconstruct Young's modulus from the measured vibrational motion, which is verified using simulated displacement data and using data from tissue-mimicking phantoms.
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Real-time deformation and fracture in a game environment
Eric G. Parker,James F. O'Brien +1 more
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A novel three-variable shear deformation plate formulation: Theory and Isogeometric implementation
TL;DR: In this paper, a generalized formulation of three-variable plate theory and an efficient computational approach for analyzing plates were presented, which not only has three degree of freedoms (DOFs) per node, which complies with three dimensional space of full plate model as classical plate theory (CPT) but also accounts for the effect of shear deformation without any requirement of Shear correction factors (SCF).