Vibration analysis of nonlinear and linear elastic systems
Objective. In this study, the task is to establish the theoretical prerequisites for the operability of a regressive-progressive elastic mechanism by comparing the amplitude-frequency characteristics and phase trajectories with a linear elastic system of
A. S. Lichkovakha +2 more
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Fatigue Crack Growth Analysis with Extended Finite Element for 3D Linear Elastic Material
This paper presents computational modeling of a crack growth path under mixed-mode loadings in linear elastic materials and investigates the influence of a hole on both fatigue crack propagation and fatigue life when subjected to constant amplitude ...
Yahya Ali Fageehi
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Crack paths and the linear elastic analysis of cracked bodies [PDF]
The linear elastic analysis of cracked bodies is a Twentieth Century development, with the first papers appearing in 1907, but it was not until the introduction of the stress intensity factor concept in 1957 that widespread application to practical ...
L. P. Pook
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Spectral Analysis of a Mixed Method for Linear Elasticity
The purpose of this paper is to analyze a mixed method for linear elasticity eigenvalue problem, which approximates numerically the stress, displacement, and rotation, by piecewise $(k+1)$, $k$ and $(k+1)$-th degree polynomial functions ($k\geq 1$), respectively. The numerical eigenfunction of stress is symmetric.
Xiang Zhong, Weifeng Qiu
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Analysis of Elastic Beams on Linear and Nonlinear Foundations Using Finite Difference Method [PDF]
An approximate method is developed to analyze the deflection in beams and beam-column by solving the differential equation for the elastic deformation of beam and beam-column.
Saad Essa
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Singular patch method for linear elastic fracture mechanics analysis using isogeometric analysis
The singular patch method for isogeometric analysis (IGA) to represent the singular stress behavior in the vicinity of a crack tip for two-dimensional linear elastic fracture mechanics analysis is presented.
Hiroshi OKADA +6 more
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Revisiting the wrinkling of elastic bilayers I: linear analysis [PDF]
Wrinkling is a universal instability occurring in a wide variety of engineering and biological materials. It has been studied extensively for many different systems but a full description is still lacking. Here, we provide a systematic analysis of the wrinkling of a thin hyperelastic film over a substrate in plane strain using stream functions.
Hamza Alawiye, Ellen Kuhl, Alain Goriely
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Analysis of Beams on Non-Linear Elastic Winkler Foundation [PDF]
This paper deals with thin beams resting on non-linear Winkler foundations by using the secant modulus approach to specify the modulus of subgrade reaction.
Mustafa Al-Ani
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Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity [PDF]
We provide an approximation result in the sense of $\Gamma$-convergence for energies of the form $\int_\Omega\mathscr{Q}_1(e(u))\,dx+a\,\mathcal{H}^{n-1}(J_u)+b\,\int_{J_u}\mathscr{Q}_0^{1/2}([u]\odot\nu_u)\,d\mathcal{H}^{n-1}$, where $\Omega\subset\mathbb{R}^n$ is a bounded open set with Lipschitz boundary, $\mathscr{Q}_0$ and $\mathscr{Q}_1$ are ...
Matteo Focardi, Flaviana Iurlano
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A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow [PDF]
The deformation of slender elastic structures due to the motion of surrounding fluid is a common multiphysics problem encountered in many applications. In this work we detail the development of a numerical model capable of solving such strongly-coupled ...
Suliman Ridhwaan, Oxtoby Oliver
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