Modelling of cutting force on a viscoelastic body for surgical simulation

Yun Peng, Debao Zhou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents the development of a closed form solution of stress distribution in a linear viscoelastic half-space subjected to distributive surface forces. The purpose is to analyze the cutting efficiency based on stress fields under different cutting parameters, such as cutting angle or blade sharpness, and to provide a guideline for practical applications. In developing the model, the body is assumed as a linear viscoelastic, isotropic and homogenous half-space. The interaction between the blade and the body is modeled as distributive forces acting on a rectangular area on the free surface of the half-space. To model the linear viscoelasticity, Burgers model is used to describe the stress relaxation behaviors. A trapezoidal force profile is applied in the intersection of the blade. The solution is developed in two steps: First, by applying the elastic-viscoelastic correspondence principle, we obtain the viscoelastic solution with a point load from the elastic case. Second, a surface-integration of the solution over the contacting area is performed to obtain the stress distribution under distributive forces. The result serves as a mathematical model to simulate the stress distribution during biomaterial cutting and can be used in many practices such as surgical simulations and trainings.

Original languageEnglish (US)
Title of host publicationGrand Challenges in Modeling and Simulation Symposium, GCMS 2013 - 2013 Summer Simulation Multiconference, SummerSim 2013
Pages187-192
Number of pages6
Edition10
StatePublished - Aug 5 2013
EventGrand Challenges in Modeling and Simulation Symposium, GCMS 2013, Part of the 2013 Summer Simulation Multiconference, SummerSim 2013 - Toronto, ON, Canada
Duration: Jul 7 2013Jul 10 2013

Publication series

NameSimulation Series
Number10
Volume45
ISSN (Print)0735-9276

Other

OtherGrand Challenges in Modeling and Simulation Symposium, GCMS 2013, Part of the 2013 Summer Simulation Multiconference, SummerSim 2013
CountryCanada
CityToronto, ON
Period7/7/137/10/13

Keywords

  • Burgers model
  • Cutting
  • Linear viscoelastic
  • Slicing angle
  • Stress distribution

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