Detailed finite element modelling of deep needle insertions into a soft tissue phantom using a cohesive approach

Detailed finite element modelling of needle insertions into soft tissue phantoms encounters difficulties of large deformations, high friction, contact loading and material failure. This paper demonstrates the use of cohesive elements in high-resolution finite element models to overcome some of the issues associated with these factors. Experiments are presented enabling extraction of the strain energy release rate during crack formation. Using data from these experiments, cohesive elements are calibrated and then implemented in models for validation of the needle insertion process. Successful modelling enables direct comparison of finite element and experimental force–displacement plots and energy distributions. Regions of crack creation, relaxation, cutting and full penetration are identified. By closing the loop between experiments and detailed finite element modelling, a methodology is established which will enable design modifications of a soft tissue probe that steers through complex mechanical interactions with the surrounding material.

[1]  G. Franceschini,et al.  THE MECHANICS OF HUMAN BRAIN TISSUE , 2006 .

[2]  Septimiu E. Salcudean,et al.  Needle Insertion Modelling for the Interactive Simulation of Percutaneous Procedures , 2002, MICCAI.

[3]  Glaucio H. Paulino,et al.  A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material , 2006 .

[4]  Oliver A. Shergold,et al.  Mechanisms of deep penetration of soft solids, with application to the injection and wounding of skin , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[5]  Takashi Kyoya,et al.  Finite cover method for progressive failure with cohesive zone fracture in heterogeneous solids and structures , 2006 .

[6]  J. Vincent,et al.  The mechanism of drilling by wood wasp ovipositors , 1995 .

[7]  R. J. Sanford Principles of Fracture Mechanics , 2002 .

[8]  James F. O'Brien,et al.  Interactive simulation of surgical needle insertion and steering , 2009, ACM Trans. Graph..

[9]  K. T. Ramesh,et al.  Needle-tissue interaction forces for bevel-tip steerable needles , 2008, 2008 2nd IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics.

[10]  Allison M. Okamura,et al.  Modeling of needle insertion forces for robot-assisted percutaneous therapy , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[11]  Glaucio H. Paulino,et al.  Mode I fracture of adhesive joints using tailored cohesive zone models , 2008 .

[12]  L Frasson,et al.  STING: a soft-tissue intervention and neurosurgical guide to access deep brain lesions through curved trajectories , 2010, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[13]  Nathan A. Wood,et al.  Needle steering system using duty-cycled rotation for percutaneous kidney access , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[14]  Huajian Gao,et al.  Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds , 1998 .

[15]  Oliver A. Shergold,et al.  Experimental investigation into the deep penetration of soft solids by sharp and blunt punches, with application to the piercing of skin. , 2005, Journal of biomechanical engineering.

[16]  Ferdinando Rodriguez y Baena,et al.  Detailed finite element simulations of probe insertion into solid elastic material using a cohesive zone approach , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[17]  Xiurun Ge,et al.  A new quasi-continuum constitutive model for crack growth in an isotropic solid , 2005 .

[18]  Christian Duriez,et al.  GPU-based real-time soft tissue deformation with cutting and haptic feedback. , 2010, Progress in biophysics and molecular biology.

[19]  Kyle B. Reed,et al.  Mechanics of Flexible Needles Robotically Steered through Soft Tissue , 2010, Int. J. Robotics Res..

[20]  G. Gillies,et al.  Measurement of the force required to move a neurosurgical probe through in vivo human brain tissue , 1999, IEEE Transactions on Biomedical Engineering.

[21]  Michael Kaliske,et al.  Discrete crack path prediction by an adaptive cohesive crack model , 2010 .

[22]  W R Walsh,et al.  Resistance forces acting on suture needles. , 2001, Journal of biomechanics.

[23]  Septimiu E. Salcudean,et al.  Needle insertion modeling and simulation , 2003, IEEE Trans. Robotics Autom..

[24]  F. Erdogan,et al.  Principles of Fracture Mechanics , 1974 .

[25]  Paolo Fiorini,et al.  GPU-based physical cut in interactive haptic simulations , 2011, International Journal of Computer Assisted Radiology and Surgery.

[26]  Vincent Hayward,et al.  Estimation of the Fracture Toughness of Soft Tissue from Needle Insertion , 2008, ISBMS.

[27]  Septimiu E. Salcudean,et al.  Needle insertion modelling and simulation , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[28]  F. L. Matthews,et al.  Predicting Progressive Delamination of Composite Material Specimens via Interface Elements , 1999 .

[29]  L. J. Sluys,et al.  Error estimation and adaptivity for discontinuous failure , 2009 .

[30]  Allison M. Okamura,et al.  Planning for Steerable Bevel-tip Needle Insertion Through 2D Soft Tissue with Obstacles , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[31]  Seong-Young Ko,et al.  Two-dimensional needle steering with a “programmable bevel” inspired by nature: Modeling preliminaries , 2010, 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[32]  Allison M. Okamura,et al.  Measurement of the Tip and Friction Force Acting on a Needle during Penetration , 2002, MICCAI.