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A Novel Mass Spring Model Topology for Modeling of Linear Isotropic Homogeneous Materials

[+] Author Affiliations
Pradeepkumar Suryawanshi, Abhishek Gupta

Indian Institute of Technology, Bombay, Mumbai, India

Paper No. IMECE2015-51575, pp. V009T12A036; 8 pages
doi:10.1115/IMECE2015-51575
From:
  • ASME 2015 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids
  • Houston, Texas, USA, November 13–19, 2015
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5752-6
  • Copyright © 2015 by ASME

abstract

Mass Spring Systems (MSS) have been extensively used for real-time computer simulations of deformable objects. However, identification of parameters for MSS is a challenging task, and increase in mesh resolution for MSS does not guarantee convergence to a better solution. We propose a modification to the square unit cell of a MSS, for modelling linear homogenous isotropic materials by utilizing additional shear springs. For this element, we derive the spring stiffness expressions analytically using the material properties. This proposed element can accurately model the deformation behaviour of a continuum element under tensile and pure shear loading, for all values of modulus of elasticity and Poisson’s ratio less than 1/3. The bulk behavior of the MSS model was verified for a beam and a plate subjected to tensile and transverse loading. It was found that as mesh resolution increases, the MSS solutions converge to values that are very close to the solutions obtained through FEM. This model was then used for predicting crack growth direction in a brittle linear elastic isotropic material.

Copyright © 2015 by ASME
Topics: Modeling , Springs , Topology

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