A phenomenological theory for strain gradient effects in plasticity
نویسندگان
چکیده
منابع مشابه
Generalizing J2 flow theory: Fundamental issues in strain gradient plasticity
It has not been a simple matter to obtain a sound extension of the classical J2 flow theory of plasticity that incorporates a dependence on plastic strain gradients and that is capable of capturing size-dependent behaviour of metals at the micron scale. Two classes of basic extensions of classical J2 theory have been proposed: one with increments in higher order stresses related to increments o...
متن کاملA Semi-analytical Solution for Flexural Vibration of Micro Beams Based on the Strain Gradient Theory
In this paper, the flexural free vibrations of three dimensional micro beams are investigated based on strain gradient theory. The most general form of the strain gradient theory which contains five higher-order material constants has been applied to the micro beam to take the small-scale effects into account. Having considered the Euler-Bernoulli beam model, governing equations of motion are w...
متن کاملGuidelines for Constructing Strain Gradient Plasticity Theories
Issues related to the construction of continuum theories of strain gradient plasticity which have emerged in recent years are reviewed and brought to bear on the formulation of the most basic theories. Elastic loading gaps which can arise at initial yield or under imposition of non-proportional incremental boundary conditions are documented and analytical methods for dealing with them are illus...
متن کاملQuasi-static Evolution for a Model in Strain Gradient Plasticity
We prove the existence of a quasistatic evolution for a model in strain gradient plasticity proposed by Gurtin and Anand concerning isotropic, plastically irrotational materials under small deformations. This is done by means of the energetic approach to rate-independent evolution problems. Finally we study the asymptotic behavior of the evolution as the strain gradient length scales tend to ze...
متن کاملTwo-scale Homogenization for a Model in Strain Gradient Plasticity
Using the tool of two-scale convergence, we provide a rigorous mathematical setting for the homogenization result obtained by Fleck and Willis (J. Mech. Phys. Solids, 2004) concerning the effective plastic behaviour of a strain gradient composite material. Moreover, moving from deformation theory to flow theory, we prove a convergence result for the homogenization of quasistatic evolutions in t...
متن کاملذخیره 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: Journal of the Mechanics and Physics of Solids
سال: 1993
ISSN: 0022-5096
DOI: 10.1016/0022-5096(93)90072-n