An asymptotic formulation for boundary value problems in a non-local elastic half-space

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Surface waves in solid mechanics (74J15) Elastic materials (74B99)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Microstructure-dependent couple stress theories of functionally graded beams
A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory
A new Kirchhoff plate model based on a modified couple stress theory
Experiments and theory in strain gradient elasticity.
Théorie des corps déformables.
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
Modified nonlocal elasticity theory for functionally graded materials
Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams
A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory
Couple stress based strain gradient theory for elasticity
Renewal of basic laws and principles for polar continuum theories. I: Micropolar continua
Displacement based nonlocal models for size effect simulation in nanomechanics
Rayleigh waves in micro-structured elastic systems: non-reciprocity and energy symmetry breaking
Antiplane Stoneley waves propagating at the interface between two couple stress elastic materials
On some theorems in the nonlocal theory of micropolar elasticity
A simple solution method to 3D integral nonlocal elasticity: isotropic-BEM coupled with strong form local radial point interpolation
Linear theory of nonlocal elasticity and dispersion of plane waves
On nonlocal elasticity
Diffraction of antiplane shear waves and stress concentration in a cracked couple stress elastic material with micro inertia
Nonlocal Continuum Field Theories
A non-local asymptotic theory for thin elastic plates
Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects
Isogeometric analysis of small-scale effects on the vibration of functionally graded porous curved microbeams based on the modified strain gradient elasticity theory
Lamb waves in functionally graded magnetoelectric microplates with different boundary conditions
On integral and differential formulations in nonlocal elasticity