Secondary motions associated with anti-plane shear in nonlinear isotropic elasticity

نویسندگان
چکیده

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

Analytical Solutions to General Anti-Plane Shear Problems In Finite Elasticity∗

This paper presents a pure complementary energy variational method for solving a general anti-plane shear problem in finite elasticity. Based on the canonical dualitytriality theory developed by the author, the nonlinear/nonconex partial differential equations for the large deformation problem is converted into an algebraic equation in dual space, which can, in principle, be solved to obtain a ...

متن کامل

Lower bounds of end effects for a non homogeneous isotropic linear elastic solid in anti-plane shear

In this paper we give lower bounds for the spatial decay of the solutions for anti-plane shear deformations in the case of isotropic inhomogeneous elastic materials. We first consider the case when the shear modulus only depends on the lateral direction. By means of the logarithmic convexity arguments we obtain the required estimates. Some pictures illustrate our results. Last section studies t...

متن کامل

Elucidation of Isotropic and Anisotropic Shear Elasticity of in vivo Soft Tissue using Planar Magnetic Resonance

Magnetic resonance elastography (MRE) is a noninvasive method that allows the determination of in vivo shear elasticity of soft tissues. In this thesis methods for the determination of isotropic and anisotropic shear elasticities from MRE wave data were developed and evaluated. All methods presented in this work are based on planar MRE, i.e. they are based on the measurement of a single displac...

متن کامل

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

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: The Quarterly Journal of Mechanics and Applied Mathematics

سال: 2013

ISSN: 0033-5614,1464-3855

DOI: 10.1093/qjmam/hbt002