1. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
(a) Degrees-of-freedom and external forces acting on a 2D frame element in local coordinates and (b) constitutive relation for a single frame element for linear elastic behavior

2. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
Mechanical relationship between two Voronoi particles: (a) embedding translational and rotational stiffness between two particles on the interface and (b) facet local displacement in t–n coordinates [6]

3. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
Lattice mesh generation of the rectangular panel using the superellipse formulation: (a) Voronoi particles and their computational points or centroids and (b) lattice mesh struts with smooth transition from polar to Cartesian coordinate system

4. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
Determining the mesh parameters Smin and Smax according to the circular hole radius, R, and the panel width, 2b, for a selected value of Δθ

5. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
(a) Part of the lattice mesh and struts with computational points for strain calculations and (b) the equivalent continuum Q4 finite element whose nodes are exactly the computational points of the lattice frame elements

6. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
The distribution of SCF for εy in a finite thin panel with a single circular hole: (a) the lattice mesh and corresponding boundary conditions, (b) the SCF distribution for the panel with uniaxial tension in y direction, (c) the SCF distribution forthe panel with biaxial tension in x and y directions, and (d) the SCF distribution for the panel with biaxial tension–compression in y and x directions, respectively

7. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
The distribution of SCF for εx in a finite thin panel with a single circular hole: (a) the lattice mesh and corresponding boundary conditions, (b) the SCF distribution for the panel with uniaxial tension in y direction, (c) the SCF distribution forthe panel with biaxial tension in x and y directions, and (d) the SCF distribution for the panel with biaxial tension–compression in y and x directions, respectively

8. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
A small region near crack tip along the crack surfaces in a homogeneous domain

9. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
Two symmetric cracks emanating from a circular hole in a rectangular panel subjected to uniaxial tensile stress [29]

10. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
Lattice mesh with h/b=2 and R/b=0.5 used for Newman problem in Fig. 9: (a) mesh without crack and (b) mesh with crack emanating from the circular hole emulating the Newman problem

11. From: Lattice Approach in Continuum and Fracture Mechanics
Date of download: 10/4/2017
Copyright © ASME. All rights reserved.
From: Lattice Approach in Continuum and Fracture Mechanics
J. Appl. Mech. 2016;83(7): doi: /
Figure Legend:
Lattice simulation results for Newman problem: (a) load–displacement curve of the panel with circular hole in direct tension and (b) comparing lattice simulations and Newman analytical solution for the function F defined in Eq. (13)