A 3d-fem Simulation of Highest Stress Lines in Mandible Fractures by Elastic Impact

References

• Adams , R. S. ( 1975 ). Sobolev spaces . Academic Press . New York .
   Google Scholar
• Bathe , K. J. ( 1976 ). Numerical methods in finite element analysis . Prentice-Hall . New Jersey .
   Google Scholar
• Bermüdez , A. and Viano , J. M. ( 1982 ). Some numerical methods in elastoplasticity . In Calcolo , XIX (fasc IV), 334 – 353 .
   Google Scholar
• Brezis , H. and Stampachhia , G. ( 1968 ). Sur la règularitè de la solution d'inèquations elliptiques . In Bulletin de la Societè Mathèmatique de France , 96 , 153 – 180 .
   Google Scholar
• Burguera , M. and Viano , J. M. ( 1995 ). Numerical solving of frictionless contact problems in perfectly plastic bodies . Computer Methods in Applied Mechanics and Engineering , 121 , 303 – 322 .
   Google Scholar
• Carter , D. R. ayes, W. C ( 1977 ). The compressive behaviour of bone as a two-phase porous structure . Journal Bone Joint Surgery , 591 , 954 – 962 .
   Google Scholar
• Castro Dìaz , M. J. ( 1996 ). Generaciòn yadaptaciòn anisòtropa de mallados de elcmentos finitos. Aplicaciòn a la resolucton numdrica de E.D.P . Tesis doctoral . Universidad de Màlaga .
   Google Scholar
• Cobo , J. , Sicilia , A. , Argüelles , J. , Suàrez , D. and Vijande , M. ( 1993 ). Initial stress induced in periodontal tissue with diverse degree of bone loss by an orthodontic force. Three-dimensional analysis by means of the finite element method . American Journal Orthodonthics Dentofacial Orthopedics , 104 , 448 – 454 .
   PubMed Web of Science ®Google Scholar
• Cook , S. D. , Weinstein , A. M. and Klaswitter , J. J. ( 1982 ). Parameter affecting the stress distribution around LTI carbon and alumminium oxide dental implants . Journal Biomedical and Material Research , 16 , 875 – 885 .
   PubMed Web of Science ®Google Scholar
• Duvaut , G. and Lions , J. L. ( 1972 ). Les inèquations en mècanique et en physique . Dunod . Paris .
   Google Scholar
• Ferre , J. C. , Legoux , L. , Helary , J. L. , Albugues , F. , Lefloch, C, Bouteyre , J. , Lumineau , J. P. , Chevalier, C, Le Cloarec , A. Y. , Orio , E. , Marquet , F. and Barbin , J. Y. ( 1985 ). Study of the deformations of the isolated mandible under static constraints by simulation on a phisics mathematical model . Anatomy clinical , 7 , 183 – 192 .
   PubMedGoogle Scholar
• Glowinski , R. ( 1984 ). Numerical methods for nonlinear variational problems . Springer-Verlag .
   Google Scholar
• Glowinski , R. , Lions , J. L. and Tremolieres , R. ( 1976 ). Analyse numerique des inequations variationeiles . Dunod-Bordas . Paris .
   Google Scholar
• Haslinger , J. , HIavacek , I. and Necas , J. ( 1996 ). Numerical methods for unilateral problems in solid mechanics . In Handbook of Numerical Analysis . IV, 313-477. North Holland , Elsevier Science .
   Google Scholar
• lonescu , I. R. and Sofonea , M. ( 1993 ). Functional and Numerical Methods in Viscoplasticity . Oxford University Press . Oxford .
   Google Scholar
• Korioth , T. W. P. , Romilly , D. P. and Hannam , A. G. ( 1992 ). Three dimensional finite element stress analysis of the dentate human mandible . American Journal Physics Anthropology , 80 , 429 – 445 .
   Google Scholar
• Kriiger , E. ( 1986 ). Mandibular fractures, 1. Classification, Diagnosis, and Fundamentals of Treatment . In Oral and Maxillofacial Traumatology , 1 , Quintessence Books .
   Google Scholar
• McGuinness , N. J. P. , Wilson , A. N. , Jones , M. L. and Mid-dleton , J. ( 1991 ). A stress analysis of the periodontal ligament under various orthodontic loadings . European Journal of Orthodontics , 13 , 231 – 242 .
   PubMed Web of Science ®Google Scholar
• Necas , J. and HIavacek , I. ( 1981 ). Mathematical theory of elastic and elastico-plastic bodies. An introduction . Elsevier Science .
   Google Scholar
• Panagiotopoulos , P. D. ( 1985 ). Inequality problems in mechanics and applications . Birkhiiuser . London .
   Google Scholar
• Panagiotopoulos , P. D. and Talaslidis , D. ( 1982 ). A linear finite element approach to the solution of the variational inequalities arising in contact problems of structural dynamics . International Journal of Numerical Methods in Engineering , 18 , 1505 – 1520 .
   Google Scholar
• Raviart , P. and Thomas , J. M. ( 1983 ). Introduction á I'Analyse Numèrique des Èquations aux derivèes partielles . Masson . Paris .
   Google Scholar
• Rochdi , M. ( 1997 ). Analyse variationnelle de quelques prob-lemes aux limites en viscoplasticite . Thése. Universitè de Per-pignan .
   Google Scholar
• Sofonea , M. ( 1996 ). On a contact problems for elastic-viscoplastic bodies . Nonlinear Analysis, Theory, Methods and Applications , 29 , 1037 – 1050 .
   Google Scholar
• Tanne , K. , Sakuda , M. and Burstone , C. ( 1987 ). Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces . American Journal of Orthodontics and Dentofacial Orthopedics , 92 , 499 – 505 .
   PubMed Web of Science ®Google Scholar
• Tanne , K. , Nagataki , T. , Inoue , Y. , Sakuda , M. and Bur-stone , C. ( 1991 ). Patterns of the initial tooth displacements associated with various root lengths and alveolar bone heights . Journal of Orthodontics and Dentofacial Orthopedics , 100 , 66 – 71 .
   PubMed Web of Science ®Google Scholar
• Tanne , K. , Lu Chieh-li, E. Tanaka , E. and Sakodu , M. ( 1993 ). Biomechanical changes of the mandible from orthopaedic chin cup force studied in a three-dimensional finite element model . European Journal of Orthodontics , 15 , 527 – 533 .
   PubMedGoogle Scholar
• Viano , J. M. ( 1986 ). Anàlisis de un mètodo numirico con elementos finitos para problems de contacto unilateral sin rozamiento en elasticidad . Revista Internacional de Mètodos Numèricos en la Ingenieria , 1 , 79 – 83 and 2 , 63 – 85 .
   Google Scholar
• Zhong , Z. H. ( 1993 ). Finite element procedures for contact-impact problems . Oxford University Press .
   Google Scholar
• Zukas , J. A. , Nicholas , T. , Swift , H. F. , Greszuk , L. B. urran, D. R ( 1992 ). Impact dynamics . Krieger Publications Company , Florida .
   Google Scholar