Topic
Linear elasticity
About: Linear elasticity is a research topic. Over the lifetime, 9080 publications have been published within this topic receiving 258684 citations.
Papers published on a yearly basis
Papers
More filters
Book•
01 Jan 2006
TL;DR: This new edition of elasticity: Theory, Applications, and Numerics, Third Edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories.
Abstract: Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. * Thorough yet concise introduction to linear elasticity theory and applications* Only text providing detailed solutions to problems of nonhomogeneous/graded materials* New material on stress contours/lines, contact stresses, curvilinear anisotropy applications* Further and new integration of MATLAB software* Addition of many new exercises* Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations* Online solutions manual and downloadable MATLAB code
1,002 citations
TL;DR: In this article, a 4-node plate bending element for linear elastic analysis is presented, as a special case, from a general nonlinear continuum mechanics based four-node shell element formulation.
Abstract: This communication discusses a 4-node plate bending element for linear elastic analysis which is obtained, as a special case, from a general nonlinear continuum mechanics based 4-node shell element formulation. The formulation of the plate element is presented and the results of various example solutions are given that yield insight into the predictive capability of the plate (and shell) element.
1,000 citations
TL;DR: In this paper, two-dimensional lattices of carbon, boron-nitride, and fluorine-carbon compositions are treated with ab initio methods in order to evaluate and compare their mechanical properties in a uniform fashion.
Abstract: Two-dimensional lattices of carbon, boron-nitride, and fluorine-carbon compositions are treated with ab initio methods in order to evaluate and compare their mechanical properties in a uniform fashion. The demonstrated robustness of continuum elasticity up to very small length-scale allows one to define and compute the in-plane stiffness and flexural rigidity moduli of the representative nanoshells of C, BN, and ${\mathrm{C}}_{x}\mathrm{F}$ $(xl~2).$ While only small deviations from linear elasticity are observed for C and BN, fluorination causes significant spontaneous shell folding. We discover that spontaneous curvature in fluorinated nanotubes shifts the energy minimum from a plane sheet towards the very small diameter tubes of (4,4) and even (3,3) indexes. Moreover, their equilibrium cross sections are distinctly polygonal, due to curvature self-localization, with an equilibrium angle of $71\ifmmode^\circ\else\textdegree\fi{}$ at each fluorine row attachment. Our analysis yields a simple physical model coupling the mechanical strain with chemical transformation energies.
992 citations
Book•
01 Jan 2003
TL;DR: In this article, the authors review the Continuum Theory of Crystalline Solids and Martensitic Phase Transformation (Martensitic phase transformation) and the Shape Memory Effect (SME).
Abstract: 1. Introduction 2. Review of Continuum Mechanics 3. Continuum Theory of Crystalline Solids 4. Martensitic Phase Transformation 5. Twinning in Martensite 6. Origin of Microstructure 7. Special Microstructures 8. Analysis of Microstructure 9. The Shape-Memory Effect 10. Thin Films 11. Geometrically Linear Theory 12. Piece-wise Linear Elasticity 13. Polycrystals
924 citations
TL;DR: In this paper, it was shown that if the displacement field and stress intensity factor are known as functions of crack length for any symmetrical load system acting on a linear elastic body in plane strain, then the stress intensity factors for any other symmetric load system whatsoever on the same body may be directly determined.
923 citations