General lattice model of gradient elasticity
نویسندگان
چکیده
منابع مشابه
Computational Evaluation of Strain Gradient Elasticity Constants
Classical effective descriptions of heterogeneous materials fail to capture the influence of the spatial scale of the heterogeneity on the overall response of components. This influence may become important when the scale at which the effective continuum fields vary approaches that of the microstructure of the material and may then give rise to size effects and other deviations from the classic...
متن کاملElasticity of a filamentous kagome lattice.
The diluted kagome lattice, in which bonds are randomly removed with probability 1-p, consists of straight lines that intersect at points with a maximum coordination number of 4. If lines are treated as semiflexible polymers and crossing points are treated as cross-links, this lattice provides a simple model for two-dimensional filamentous networks. Lattice-based effective-medium theories and n...
متن کاملFree Vibration Analysis of Microtubules as Orthotropic Elastic Shells Using Stress and Strain Gradient Elasticity Theory
In this paper, vibration of the protein microtubule, one of the most important intracellular elements serving as one of the common components among nanotechnology, biotechnology and mechanics, is investigated using stress and strain gradient elasticity theory and orthotropic elastic shells model. Microtubules in the cell are influenced by internal and external stimulation and play a part in con...
متن کاملStatic analysis of rectangular nanoplates using exponential shear deformation theory based on strain gradient elasticity theory
In this research, the bending analysis of rectangular nanoplates subjected to mechanical loading is investigated. For this purpose, the strain gradient elasticity theory with one gradient parameter is presented to study the nanoplates. From the best knowledge of authors, it is the first time that the exponential shear deformation formulation based on strain gradient elasticity theory is carried...
متن کاملDerivation of Higher Order Gradient Continuum Theories in 2,3-d Non-linear Elasticity from Periodic Lattice Models
SOLIDS THAT I:XHIUIT localization of deformation (in the form of shear bands) at sufficiently high levels of strain, are ftrcquently modeled by gradient type non-local constitutive laws. i.e. continuum theories that include higher order deformation gradients. These models incorporate a length scale for the localized deformation zone and are either postulated or justified from micromechanical co...
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: Modern Physics Letters B
سال: 2014
ISSN: 0217-9849,1793-6640
DOI: 10.1142/s0217984914500547