A novel approach to modelling and simulating the contact behaviour between a human hand model and a deformable object

References

• Alart , P and Curnier , A . 1991 . A mixed formulation for frictional contact problems prone to Newton like solution methods . Comput Meth Appl Mech Eng , 92 ( 3 ) : 353 – 375 .
   Web of Science ®Google Scholar
• Almeida , ES and Spilker , RL . 1998 . Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues . Comput Methods Appl Mech Eng , 151 ( 3–4 ) : 513 – 538 . Containing papers presented at the symposium on Advances in Computational Mechanics
   Google Scholar
• Bae , S and Armstrong , TJ . 2011 . A finger motion model for reach and grasp . Int J Ind Ergon , 41 ( 1 ) : 79 – 89 .
   Web of Science ®Google Scholar
• Balzani , D , Neff , P , Schröder , J and Holzapfel , GA . 2006 . A polyconvex framework for soft biological tissues. Adjustment to experimental data . Int J Solids Struct , 43 ( 20 ) : 6052 – 6070 .
   Web of Science ®Google Scholar
• Boehler , JP . 1987 . Introduction to the invariant formulation of anisotropic constitutive equations , Applications of tensor functions in solids mechanics, CISM Course No. 292 Springer Verlag .
   Google Scholar
• Buchanan , D and Ural , A . 2010 . ASME; finite element modeling of the influence of hand position and bone properties on the Colles' fracture load during a fall . J Biomech Eng , 132 ( 8 ) : 081007
   Google Scholar
• Carbone , G and González , A . 2011 . Tarrytown, NY: Pergamon Press, Inc.; A numerical simulation of the grasp operation by LARM Hand IV: a three finger robotic hand . Robot. Comput Integr Manuf , 27 : 450 – 459 .
   Google Scholar
• Chamoret , D , Saillard , P , Rassineux , A and Bergheau , JM . 2004 . New smoothing procedures in contact mechanics . J Comput Appl Math , 168 ( 1–2 ) : 107 – 116 . Selected papers from the second international conference on advanced computational methods in engineering (ACOMEN 2002)
   Google Scholar
• De Saxcé , G and Feng , ZQ . 1998 . The bipotential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms . Math Comput Model , 28 ( 4–8 ) : 225 – 245 .
   Google Scholar
• Evans , SL . 2009 . On the implementation of a wrinkling, hyperelastic membrane model for skin and other materials . Comput Meth Biomech Biomed Eng , 12 ( 3 ) : 319 – 332 .
   PubMed Web of Science ®Google Scholar
• Feng , ZQ , Peyraut , F and He , QC . 2006 . Finite deformations of Ogden's materials under impact loading . Int J Non-Linear Mech , 41 ( 4 ) : 575 – 585 .
   Google Scholar
• Feng , ZQ , Zei , M and Joli , P . 2007 . An elasto-plastic contact model applied to nanoindentation . Comput Mater Sci , 38 ( 4 ) : 807 – 813 .
   Google Scholar
• Fung , YC , Fronek , K and Patitucci , P . 1979 . Pseudoelasticity of arteries and the choice of its mathematical expression . Am J Physiol Heart Circ Physiol , 237 ( 5 ) : H620 – H631 .
   PubMed Web of Science ®Google Scholar
• Gasser , TC , Ogden , RW and Holzapfel , GA . 2006 . Hyperelastic modelling of arterial layers with distributed collagen fibre orientations . J R Soc Interface , 3 ( 6 ) : 15 – 35 .
   PubMed Web of Science ®Google Scholar
• Guo , ZY , Caner , F , Peng , XQ and Moran , B . 2008 . On constitutive modelling of porous neo-Hookean composites . J Mech Phys Solids , 56 ( 6 ) : 2338 – 2357 .
   Google Scholar
• Holzapfel , GA , Gasser , TC and Ogden , RW . 2000 . A new constitutive framework for arterial wall mechanics and a comparative study of material models . J Elasticity , 61 ( 1 ) : 1 – 48 .
   Web of Science ®Google Scholar
• Horii , E , An , KN and Linscheid , RL . 1993 . Excursion of prime wrist tendons . J Hand Surg , 18 ( 1 ) : 83 – 90 .
   PubMedGoogle Scholar
• Joli , P and Feng , ZQ . 2008 . Uzawa and Newton algorithms to solve frictional contact problems within the bi-potential framework . Int J Numer Meth Eng , 73 : 317 – 330 .
   Google Scholar
• Kemper , AR , McNally , C , Kennedy , EA , Manoogian , SJ , Rath , AL , Ng , TP , Stitzel , JD , Smith , EP , Duma , SM and Matsuoka , F . 2005 . Material properties of human rib cortical bone from dynamic tension coupon testing . Stapp Car Crash J , 49 : 199 – 230 .
   PubMedGoogle Scholar
• Kim , Y , Choi , J and Park , J . 2009 . “ Physically based grasping and manipulation method using pre-contact grasping quality measure ” . In Proceedings of the 16th ACM symposium on virtual reality software and technology , Kyoto, Japan. VRST'09 253 – 254 . New York, NY : ACM .
   Google Scholar
• Misra , S , Ramesh , KT and Okamura , AM . 2010 . Modelling of non-linear elastic tissues for surgical simulation . Comput Meth Biomech Biomed Eng , 13 ( 6 ) : 811 – 818 .
   PubMed Web of Science ®Google Scholar
• Natali A, Carniel E, Pavan P, Dario P, Izzo I. 2006. Hyperelastic models for the analysis of soft tissue mechanics: definition of constitutive parameters. In: Biomedical robotics and biomechatronics, 2006. BioRob 2006. The First IEEE/RAS-EMBS international conference on, p. 188–191
   Google Scholar
• Newmark , NM . 1959 . A method of computation for structural dynamics . J Eng Mech Division , 85 ( EM3 ) : 67 – 94 . ASCE
   Google Scholar
• Peng , XQ , Guo , ZY and Moran , B . 2006 . ASME; an anisotropic hyperelastic constitutive model with fiber-matrix shear interaction for the human annulus fibrosus . J Appl Mech , 73 ( 5 ) : 815 – 824 .
   Google Scholar
• Peyraut , F , Chamoret , D , Gomes , S and Feng , ZQ . 2010 . Implémentation éléments finis du modèle hyperélastique anisotrope HGO . Eur J Comput Mech , 9 : 441 – 464 .
   Google Scholar
• Rho , JY , Tsui , TY and Pharr , GM . 1997 . Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation . Biomaterials , 18 ( 20 ) : 1325 – 1330 .
   PubMed Web of Science ®Google Scholar
• Rüter , M and Stein , E . 2000 . Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity . Comput Meth Appl Mech Eng , 190 ( 5–7 ) : 519 – 541 .
   Google Scholar
• Schröder , J , Neff , P and Balzani , D . 2005 . A variational approach for materially stable anisotropic hyperelasticity . Int J Solids Struct , 42 ( 15 ) : 4352 – 4371 .
   Web of Science ®Google Scholar
• Scovazzi , G , Love , E and Shashkov , MJ . 2008 . Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: theoretical framework and two-dimensional computations . Comput Meth Appl Mech Eng , 197 ( 9–12 ) : 1056 – 1079 .
   Google Scholar
• Simo , JC and Laursen , TA . 1992 . An augmented Lagrangian treatment of contact problems involving friction . Comput Struct , 42 ( 1 ) : 97 – 116 .
   Web of Science ®Google Scholar
• Spencer , AJM . 1987 . “ Isotropic polynomial invariants and tensor functions ” . In Applications of tensor functions in solids mechanics, CISM Course No. 292 , Springer Verlag .
   Google Scholar
• Thalmann , NM and Thalmann , D . 1995 . Finite elements in task-level animation . Finite Elem Anal Des , 19 ( 4 ) : 227 – 242 .
   Google Scholar
• Wang , X , Shen , X , Li , X and Agrawal , CM . 2002 . Age-related changes in the collagen network and toughness of bone . Bone , 31 ( 1 ) : 1 – 7 .
   PubMed Web of Science ®Google Scholar
• Weiss , JA , Maker , BN and Govindjee , S . 1996 . Finite element implementation of incompressible, transversely isotropic hyperelasticity . Comput Meth Appl Mech Eng , 135 ( 1–2 ) : 107 – 128 .
   Web of Science ®Google Scholar
• Zhang , JM and Rychlewski , J . 1990 . Structural tensors for anisotropic solids . Arch Mech , 42 : 267 – 277 .
   Google Scholar
• Zheng , QS and Spencer , AJM . 1993 . Tensors which characterize anisotropies . Int J Eng Sci , 31 ( 5 ) : 679 – 693 .
   Web of Science ®Google Scholar