Surface Tension-Induced Stress Concentration Around A
Di: Ava
While surface tension is more widely used in describing the surface imperfection than surface stress and surface free energy, the latter two fundamentally should be more correctly adopted in the related subjects. The Contribution of Surface Tension-Dependent Alveolar Septal Stress Concentrations to Ventilation-Induced Lung Injury in the Acute Respiratory Distress Syndrome
Abstract Investigated in this paper is the surface tension-induced stress field around a nanoscale inclusion of arbitrary shape embedded in an infinite elastic plane, with an emphasis on the combined effects of surface tension and arbitrary inclusion Moreover, when the hole volume fraction falls below about 7%, it is found that the surface tension-induced stress concentration around periodic holes can be treated approximately as that around a single hole with the same hole shape and size in an infinite plane. In this study, a theoretical model is proposed to analyze the stress concentration in a plate of finite thickness containing a circular hole under remote biaxial loading. The stresses in a plate with a circular hole under remote biaxial loading is a superposition of the stresses in the unperforated plate and the released stresses induced by opening the hole. For the latter, the
Stress Concentration in Plate with Circular Hole
Herein, we model the light–matter interaction of laser heating sources to spatially structure surface tension gradients on liquid metals to therefore control the motion and assembly of particles via the Marangoni effect. In this work, Laguerre-Gaussian (LG pl) lasers were utilized to engineer surface tension gradients and induced Marangoni flow. Surface tension-induced stress concentration phenomena around a nano-sized hole of arbitrary shape inside an elastic isotropic half-plane are examined in Dai et al. [8], while in Dai et al. [10
The Contribution of Surface Tension-Dependent Alveolar Septal Stress Concentrations to Ventilation-Induced Lung Injury in the Acute Respiratory Distress Syndrome Carrie E. Perlman* Department of Biomedical Engineering, Stevens Institute of
Voids play an important role in the fatigue behaviour of polycrystal materials. In this paper, the effects of three factors affecting the stress concentration factors (SCFs) near voids, i.e., size, depth, and applied load, are investigated by employing crystal plasticity constitutive models in polycrystal bulks. The results indicate that SCF is dominated by the void size, while Specifically, we examine the small-scale surface effects imposed on the boundary of the hole (in terms of both the mechanical surface effects induced by surface tension and surface elasticity and the conductive surface effects related to surface phonon scattering) on the thermal stress distribution around the hole.
- Stress Concentrations at Holes
- Chapter 2 Stress Concentration Problems
- Elastic wellbore stress concentration
- Surface stress effect in mechanics of nanostructured materials
Surface tension-induced stress concentration around an elliptical hole in an anisotropic half-plane Analytic solution for Eshelby’s problem of an inclusion of arbitrary shape in a plane or half-plane Elastic equilibrium of a half plane containing a finite array of elliptic inclusions However, because of the inferior tunnel shape, a higher stress concentration is likely to arise around non-circular tunnels than circular ones. Moreover, the stress concentration around a shallow tunnel is further intensified by the proximity to the ground surface.
This paper studies the axisymmetric vibration of a soft elastic rod with surface tension based on the modified Gurtin–Murdoch model. In contrast to the original Gurtin–Murdoch model (GM model) in which surface tension is treated as a finite value while the residual stress in the bulk induced by it is however treated as an infinitesimal quantity, the present modified Surface tension plays an important role in nanosized materials. In this paper, the stress field induced by surface tension around an arbitrarily shaped nanosized hole is investigated through The refined solution may lead to more accurate results in predicting the gravity-triggered stress concentration around a moderate-depth tunnel. The refined solution is compared with the classical solution (obtained by using a constant initial stress field) in calculating the hoop stress around the tunnel via several numerical examples.
Cylindrical compressible liquid inclusion with surface effects
This paper deals with the stress concentration problem of an ellipsoidal inclusion of revolution in a semi-infinite body under biaxial tension. The problem is formulated as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where unknowns are densities of body forces distributed in ther- andz-directions in semi-infinite bodies having the same elastic Finally, the fracture morphology of the specimens is examined using scanning electron microscopy to investigate the progression of cracks around the holes and the fracture mechanisms of sheet steel induced by stress concentration. The stress concentration factor for a circular hole in an infinite plate: t
Investigated in this paper is the surface tension-induced stress field around a nanoscale inclusion of arbitraryshape embedded in an infinite elastic plane, with an emphasis on the combined
Stress Concentration – Definition Whenever the machine component changes the shape of its cross-section the stress distribution pattern no longer holds good and the neighborhood of the discontinuity is different. The stresses induced in the neighborhood are much higher than the stress induced in the other part of the component. This abrupt change in cross-section or the
Investigated in this paper is the surface tension-induced stress field around a nanoscale inclusion of arbitrary shape embedded in an infinite elastic plane, with an emphasis on the combined effects of surface tension and arbitrary inclusion shape. Muskhelishvili’s complex variable method is employed to formulate the basic equations that are solved with the aid of
Download Citation | On Jan 1, 2024, Huan Liu and others published 3D stress concentration around circular hole under remote biaxial loading | Find, read and cite all the research you need on
Thermal stress concentration around holes is one of the classical topics in solid mechanics. Ever since Florence and Goodier [1960] developed the basic theory of thermoelasticity in which complex The story of the analysis of stress concentrations begins in 1898 with Ernst Gustav Kirsch’s linear elastic solution for stresses around a hole in an infinite The present work aims to investigate the surface tension-induced beading instability of a soft linearly elastic rod, but with a modified version of the GM model which accounts for the effects of the σ0 -induced bulk residual stress on the incremental bulk stress associated with instability. The general equations of the GM model and the present model are given in Section
We will then present analytical solutions for the stress distribution around a circular hole in an infinite plate, subjected to remote tensile loading, and quantitatively introduce the concept of a stress concentration factor.
Stress concentration around the wellbore can create breakouts, fractures, or failures. Understanding the stresses on rocks around wellbores is important to well design. Y. Ru, G. F. Wang and T. J. Wang Diffractions of elastic waves and stress concentration near a cylindrical nano-inclusion incorporating surface effect. ASME J. Vib. Acoust. 2009, 131 (6), 061011.
Stress concentrations may also occur from accidental damage such as nicks and scratches. The degree of concentration of a discontinuity under typically tensile loads can be expressed as a non-dimensional stress concentration factor , which is the ratio Based on the complete Gurtin-Murdoch (G-M) low-order surface energy model, the surface effects at nanoscale were further explored. The transition from macroscale to microscale was achieved through construction of reasonable stress boundary conditions in view of the change of hole geometry configuration. With the series expansion techniques and complex variable methods,
The effect of residual surface tension on the stress concentration around a nanosized spheroidal cavity in an isotropic elastic medium is analyzed based on the surface elasticity. Using the method of Boussinesq–Sadowsky’s potential functions, we obtained the solutions for the elastic field around the nanosized spheroidal cavity subjected to a uniformly
This review article summarizes the advances in the surface stress effect in mechanics of nanostructured elements, including nanoparticles, nanowires, nanobeams, and nanofilms, and heterogeneous materials containing nanoscale inhomogeneities. It begins with the fundamental formulations of surface mechanics of solids, including the definition of surface
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