Broadening Global Families of Anti-Plane Shear Equilibria

نویسندگان

چکیده

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 19 January 2021Accepted: 12 July 2021Published online: October 2021Keywordsnonlinear elasticity, global bifurcation, anti-plane shearAMS Subject Headings35B32, 74B20Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society for Industrial and Applied MathematicsCODEN: sjmaah

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dislocation nucleation and work hardening in anti-plane constrained shear

The paper aims at studying the dislocation nucleation, the corresponding work hardening and the influence of resistance to the dislocation motion within the framework of continuum theory of dislocations. We consider an anti-plane constrained shear problem which admits an analytical solution. The interesting features of this solution are the energy and dissipation thresholds for dislocation nucl...

متن کامل

Anti-plane Shear Cracks in Ideally Plastic Crystals

CRACKS in ductile single crystals are analyzed here for geometries and orientations such that twodimensional states of anti-plane shear constitute possible deformation fields. The crystals are modelled as ideally plastic and yield according to critical resolved shear stresses on their slip systems. Restrictions on the asymptotic forms of stress and deformation fields at crack tips are establish...

متن کامل

Adiabatic Shear Banding in Plane

the objective of analyzing the localization of deformation infO narrow bands of inDe-Shin Liu tense straining. Two different loadings, namely, the top and bOllom surfaces :.'ubjected to a prescribed tangential velocity, and these two surfaces subjected {O a Department of Mechanical and Aerospace preassigned normal velocity, are considered. In each case a material defect, flaw, or Engineering an...

متن کامل

Fine Cross-slip of a Screw Dislocation in Anti-plane Shear

In this work we present the main results of Armano and Cermelli [1] regarding the motion of a screw dislocation in a crystalline solid. It is well known that dislocations can only move along a finite number of crystallographic directions: in two dimensions, the resulting trajectories are piecewise rectilinear paths. However, in special situations such as near an attractor, dislocations are forc...

متن کامل

Energy minimization and the formation of microstructure in dynamic anti-plane shear

We investigate the behavior of a continuum model designed to provide insight into the dynamical development of microstructures observed during displacive phase transformations in certain materials. The model is presented within the framework of nonlinear viscoelasticity and is also of interest as an example of a strongly dissipative infinitedimensional dynamical system whose forward orbits need...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Siam Journal on Mathematical Analysis

سال: 2021

ISSN: ['0036-1410', '1095-7154']

DOI: https://doi.org/10.1137/21m1392838