Elastic and fracture property analyses of triangular and square lattice spring models at a large deformation regime

Lattice spring models (LSMs), being simple to implement, have been employed to simulate the elastic and fracture behaviors of materials. However, previous studies have mainly focused on the infinitesimal deformation range, and the applicability of LSMs for large deformations has not been thoroughly...

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Bibliographic Details
Published inJournal of mechanical science and technology Vol. 32; no. 6; pp. 2693 - 2706
Main Authors Kim, Yongtae, Kim, Youngsoo, Ryu, Seunghwa
Format Journal Article
LanguageEnglish
Published Seoul Korean Society of Mechanical Engineers 01.06.2018
Springer Nature B.V
대한기계학회
Subjects
Control
Deformation
Dynamical Systems
Elastic anisotropy
Elastic properties
Engineering
Industrial and Production Engineering
Lattice vibration
Lattices
Mechanical Engineering
Mechanical properties
Strain
Vibration
기계공학
Anisotropic
Elastic moduli
Fracture
Crack
Large deformation
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Summary:Lattice spring models (LSMs), being simple to implement, have been employed to simulate the elastic and fracture behaviors of materials. However, previous studies have mainly focused on the infinitesimal deformation range, and the applicability of LSMs for large deformations has not been thoroughly investigated. In this study, we systematically study the nonlinearity and anisotropy of elastic responses at a finite strain range as well as the fracture behaviors of two-dimensional triangular and square LSMs (tLSM and sLSM). We show that the mechanical responses of perfect lattices for both LSMs can be exactly predicted analytically. We also investigate the fracture behaviors of pre-cracked specimens under three-point bending, mode-I fracture, and shear fracture loading modes by varying the orientation of the crack with respect to the lattice. Our results on both perfect and pre-cracked lattices indicate that the mechanical properties of the sLSM is significantly more isotropic than the tLSM.
ISSN:1738-494X
1976-3824
DOI:10.1007/s12206-018-0526-9