Analysis of dynamic failure of the discrete chain structure with non-local interactions

The relationship between a strip Wiener–Hopf problem and a line Riemann–Hilbert problem

(2015) Anastasia V. Kisil   IMA JOURNAL OF APPLIED MATHEMATICS

A generalized 2D non-local lattice spring model for fracture simulation

(2014) Hailong Chen et al.   COMPUTATIONAL MECHANICS

Nonlocal constitutive laws generated by matrix functions: Lattice dynamics models and their continuum limits

(2014) Thomas M. Michelitsch et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Dynamics of a Fault Steadily Propagating within a Structural Interface

(2012) G. S. Mishuris et al.   MULTISCALE MODELING & SIMULATION

Propagation of electroacoustic axial shear waves in a piezoelectric medium reinforced by continuous fibers

(2011) V.M. Levin et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Derivation of Mindlin’s first and second strain gradient elastic theory via simple lattice and continuum models

(2011) D. Polyzos et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Shocks versus kinks in a discrete model of displacive phase transitions

(2010) Evgeni Trofimov et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Crack in a lattice waveguide

(2009) Leonid I. Slepyan et al.   INTERNATIONAL JOURNAL OF FRACTURE

Mechanically-based approach to non-local elasticity: Variational principles

(2009) M. Di Paola et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

A dispersive nonlocal model for wave propagation in periodic composites

(2009) Juan Miguel Vivar-Pérez et al.   Journal of Mechanics of Materials and Structures

Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks

(2009) A. Piccolroaz et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Localised knife waves in a structured interface

(2009) Gennady S. Mishuris et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Dynamics of a bridged crack in a discrete lattice

(2008) G. S. Mishuris et al.   QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS