Stress Analysis of the Ceramics Heads with Different Sizes under the Destruction Tests
The global solved problem is the calculation of the
parameters of ceramic material from a set of destruction tests of
ceramic heads of total hip joint endoprosthesis. The standard way of
calculation of the material parameters consists in carrying out a set of
3 or 4 point bending tests of specimens cut out from parts of the
ceramic material to be analysed. In case of ceramic heads, it is not
possible to cut out specimens of required dimensions because the
heads are too small (if the cut out specimens were smaller than the
normalised ones, the material parameters derived from them would
exhibit higher strength values than those which the given ceramic
material really has). A special destruction device for heads
destruction was designed and the solved local problem is the
modification of this destructive device based on the analysis of
tensile stress in the head for two different values of the depth of the
conical hole in the head. The goal of device modification is a shift of
the location with extreme value of σ1max from the region of head’s
hole bottom to its opening. This modification will increase the
credibility of the obtained material properties of bioceramics, which
will be determined from a set of head destructions using the Weibull
weakest link theory.
[1] A. O. Andrisano, E. Dragoni and A. Strozzi, “Axisymmetric mechanical
analysis of ceramic heads for total hip replacement,” in Proc. Inst. Mech.
Engrs, Part H, vol. 204, pp. 157-167, 1990.
[2] V. Fuis and P. Janicek, “Stress and reliability analyses of damaged
ceramic femoral heads,” in Conf. on Damage and Fracture Mechanics,
Maui Hawaii, Structures and Materials vol. 12, pp. 475-485, 2002.
[3] W. Weisse, M. Zahner, W. Weber and W. Rieger, “Improvement of the
reliability of ceramic hip joint implants,” J. of Biomechanics 36,
pp. 1633-1639, 2003.
[4] V. Fuis, M. Koukal and Z. Florian, “Shape Deviations of the Contact
Areas of the Total Hip Replacement,” in Proc. 9th Inter. Conf. on
Mechatronics, Warsaw, Poland pp. 203-212, 2011.
[5] D. Bush, “Designing Ceramic Components for Structural Applications,”
J. Mater. Eng. Perf. ASM Int., vol. 2, pp. 851-862, 1993.
[6] V. Fuis, M. Malek and P. Janicek, “Probability of destruction of
Ceramics using Weibull's Theory,” in Proc. 17th Inter. Conf. on
Engineering Mechanics 2011, Svratka, Czech Rep., pp. 155-158.
[7] S. H. Teoh, W. H. Chan and R. Thampuran, “An Elasto-plastic Finite
Element Model for Polyethylene Wear in Total Hip Arthroplasty,”
J Biomech 35: 323-330, 2002.
[8] V. Fuis, P. Janicek and L. Houfek, “Stress and Reliability Analyses of
the Hip Joint Endoprosthesis Ceramic Head with Macro and Micro
Shape Deviations,” in Proc. Inter. Conf. on Biomedical Engineering,
Singapore, IFMBE Proc. vol. 23, iss. 1-3, pp. 1580-1583, 2008.
[9] V. Fuis, “Stress and reliability analyses of ceramic femoral heads with
3D manufacturing inaccuracies,” in Proc. 11th World Congress in
Mechanism and Machine Science, Tianjin, China pp. 2197-2201, 2004.
[10] A. F. McLean and D. L. Hartsock, Engineered materials handbook,
vol. 4, Ceramics and Glasses. ASM International, pp. 676-689, 1991.
[11] V. Fuis, T. Navrat, et al., “Reliability of the Ceramic Head of the Total
Hip Joint Endoprosthesis Using Weibull's Weakest-link Theory”, in
IFMBE Proc. vol. 14, World Congress on Medical Physics and
Biomedical Engineering, Seoul, South Korea pp. 2941-2944, 2006.
[12] V. Fuis, “Tensile Stress Analysis of the Ceramic Head with Micro and
Macro Shape Deviations of the Contact Areas,” in Recent Advances in
Mechatronics: 2008-2009, Proc. Inter. Conf. on Mechatronics, Brno,
Czech Rep., pp. 425-430, 2009.
[13] R. Jiang and D. N. P. Murthy, “A study of Weibull shape parameter:
Properties and significance.” Reliability Engineering and System Safety
96, pp. 1619-1626, 2011.
[14] V. Fuis and J. Varga, “Stress Analyses of the Hip Joint Endoprosthesis
Ceramic Head with Different Shapes of the Cone Opening,” in. Proc.
13th Inter. Conf. on Biomedical Engineering, IFMBE Proc., vol. 23,
iss. 1-3, pp. 2012-2015, 2009.
[15] B. Basu, D. Tiwari, D. Kundu and R. Prasad “Is distribution the most
appropriate statistical strength distribution for britte materials?”
Ceramics International, vol. 35, iss. 1, pp. 237-246, 2009.
[16] V. Fuis, T. Navrat and P. Vosynek, “Analyses of the Shape Deviations
of the Contact Cones of the Total Hip Joint Endoprostheses,” in Proc. 6th
World Congress of Biomechanics (WCB 2010) Singapore, Series:
IFMBE Proc. vol.: 31, pp. 1451-1454, 2010.
[17] V. Fuis and P. Janicek, “Stress and reliability analyses of ceramic
femoral heads with axisymmetric production inaccuracies,” in Proc. 9th
Mediterranean Conference on Medical and Biological Engineering and
Computing, Pula, Croatia, Series: IFMBE Proc. Pts. 1 and 2,
pp. 632-635, 2001.
[18] G. Willmann, “The principle of taper fitting of ceramic articular heads of
hip joint endoprostheses,” Internal Report, CERASIV GmbH,
Plochingen, Germany, 1993.
[19] P. Janicek, “Stress-strain analysis of ceramic heads in the destruction
device,” in Proc. 20th Inter. Conf. Engineering Mechanics 2014, Svratka,
Czech Republic, pp. 260-264.
[20] V. Fuis and P. Janicek, “Calculation of the bio-ceramic material
parameters,” in Proc. 10th Inter. Conf. on Mechatronics 2013, Czech
Republic, pp. 855-861.
[21] V. Fuis, M. Koukal and Z. Florian, “Shape deviations of the contact
areas of the total hip replacement,” in Proc. 9th Inter. Conf. on
Mechatronics 2011; Warsaw; Poland, pp. 203-212.
[22] F. Šebek, J. Hůlka, P. Kubík and J. Petruška, “On the proportionality of
damage rule in finite element simulations of the ductile failure,”
Advanced Materials Research, 980, pp. 189-193, 2014.
[23] M. Vrbka, T. Navrat, et al., “Study of film formation in bovine serum
lubricated contacts under rolling/sliding conditions,” in Proc. of the
Institution of Mechanical Engineers, Part J: Journal of Engineering
Tribology, 227 (5), pp. 459-475, 2013.
[24] I. Janů, J. Kočiš, T. Návrat, Z. Florian, P. Wendsche,. “A comparative
analysis of socon CS and socon pedicle screws in view of their use for
treatment of osteoporotic fractures of the thoracolumbal spine. a
biomechanical study,“ Acta Chirurgiae Orthopaedicae et
Traumatologiae Cechoslovaca, 78 (4), pp. 334-338, 2011.
[25] I. Cizmar, Z. Florian, T. Navrat, D. Palousek, “A biomechanical study of
a suture between the deltoid muscle and a free tendon graft for
reconstruction of the elbow extension,” Biomedical Papers, 155 (1),
pp. 79-84, 2011.
[26] L. Urbanová, R. Srnec, P. Proks, L. Stehlík, Z. Florian, T. Návrat, A.
Nečas, “Comparison of the resistance to bending forces of the 4.5 LCP
plate-rod construct and of 4.5 LCP alone applied to segmental femoral
defects in miniature pigs,” Acta Veterinaria Brno, 79 (4), pp. 613-620,
2010.
[1] A. O. Andrisano, E. Dragoni and A. Strozzi, “Axisymmetric mechanical
analysis of ceramic heads for total hip replacement,” in Proc. Inst. Mech.
Engrs, Part H, vol. 204, pp. 157-167, 1990.
[2] V. Fuis and P. Janicek, “Stress and reliability analyses of damaged
ceramic femoral heads,” in Conf. on Damage and Fracture Mechanics,
Maui Hawaii, Structures and Materials vol. 12, pp. 475-485, 2002.
[3] W. Weisse, M. Zahner, W. Weber and W. Rieger, “Improvement of the
reliability of ceramic hip joint implants,” J. of Biomechanics 36,
pp. 1633-1639, 2003.
[4] V. Fuis, M. Koukal and Z. Florian, “Shape Deviations of the Contact
Areas of the Total Hip Replacement,” in Proc. 9th Inter. Conf. on
Mechatronics, Warsaw, Poland pp. 203-212, 2011.
[5] D. Bush, “Designing Ceramic Components for Structural Applications,”
J. Mater. Eng. Perf. ASM Int., vol. 2, pp. 851-862, 1993.
[6] V. Fuis, M. Malek and P. Janicek, “Probability of destruction of
Ceramics using Weibull's Theory,” in Proc. 17th Inter. Conf. on
Engineering Mechanics 2011, Svratka, Czech Rep., pp. 155-158.
[7] S. H. Teoh, W. H. Chan and R. Thampuran, “An Elasto-plastic Finite
Element Model for Polyethylene Wear in Total Hip Arthroplasty,”
J Biomech 35: 323-330, 2002.
[8] V. Fuis, P. Janicek and L. Houfek, “Stress and Reliability Analyses of
the Hip Joint Endoprosthesis Ceramic Head with Macro and Micro
Shape Deviations,” in Proc. Inter. Conf. on Biomedical Engineering,
Singapore, IFMBE Proc. vol. 23, iss. 1-3, pp. 1580-1583, 2008.
[9] V. Fuis, “Stress and reliability analyses of ceramic femoral heads with
3D manufacturing inaccuracies,” in Proc. 11th World Congress in
Mechanism and Machine Science, Tianjin, China pp. 2197-2201, 2004.
[10] A. F. McLean and D. L. Hartsock, Engineered materials handbook,
vol. 4, Ceramics and Glasses. ASM International, pp. 676-689, 1991.
[11] V. Fuis, T. Navrat, et al., “Reliability of the Ceramic Head of the Total
Hip Joint Endoprosthesis Using Weibull's Weakest-link Theory”, in
IFMBE Proc. vol. 14, World Congress on Medical Physics and
Biomedical Engineering, Seoul, South Korea pp. 2941-2944, 2006.
[12] V. Fuis, “Tensile Stress Analysis of the Ceramic Head with Micro and
Macro Shape Deviations of the Contact Areas,” in Recent Advances in
Mechatronics: 2008-2009, Proc. Inter. Conf. on Mechatronics, Brno,
Czech Rep., pp. 425-430, 2009.
[13] R. Jiang and D. N. P. Murthy, “A study of Weibull shape parameter:
Properties and significance.” Reliability Engineering and System Safety
96, pp. 1619-1626, 2011.
[14] V. Fuis and J. Varga, “Stress Analyses of the Hip Joint Endoprosthesis
Ceramic Head with Different Shapes of the Cone Opening,” in. Proc.
13th Inter. Conf. on Biomedical Engineering, IFMBE Proc., vol. 23,
iss. 1-3, pp. 2012-2015, 2009.
[15] B. Basu, D. Tiwari, D. Kundu and R. Prasad “Is distribution the most
appropriate statistical strength distribution for britte materials?”
Ceramics International, vol. 35, iss. 1, pp. 237-246, 2009.
[16] V. Fuis, T. Navrat and P. Vosynek, “Analyses of the Shape Deviations
of the Contact Cones of the Total Hip Joint Endoprostheses,” in Proc. 6th
World Congress of Biomechanics (WCB 2010) Singapore, Series:
IFMBE Proc. vol.: 31, pp. 1451-1454, 2010.
[17] V. Fuis and P. Janicek, “Stress and reliability analyses of ceramic
femoral heads with axisymmetric production inaccuracies,” in Proc. 9th
Mediterranean Conference on Medical and Biological Engineering and
Computing, Pula, Croatia, Series: IFMBE Proc. Pts. 1 and 2,
pp. 632-635, 2001.
[18] G. Willmann, “The principle of taper fitting of ceramic articular heads of
hip joint endoprostheses,” Internal Report, CERASIV GmbH,
Plochingen, Germany, 1993.
[19] P. Janicek, “Stress-strain analysis of ceramic heads in the destruction
device,” in Proc. 20th Inter. Conf. Engineering Mechanics 2014, Svratka,
Czech Republic, pp. 260-264.
[20] V. Fuis and P. Janicek, “Calculation of the bio-ceramic material
parameters,” in Proc. 10th Inter. Conf. on Mechatronics 2013, Czech
Republic, pp. 855-861.
[21] V. Fuis, M. Koukal and Z. Florian, “Shape deviations of the contact
areas of the total hip replacement,” in Proc. 9th Inter. Conf. on
Mechatronics 2011; Warsaw; Poland, pp. 203-212.
[22] F. Šebek, J. Hůlka, P. Kubík and J. Petruška, “On the proportionality of
damage rule in finite element simulations of the ductile failure,”
Advanced Materials Research, 980, pp. 189-193, 2014.
[23] M. Vrbka, T. Navrat, et al., “Study of film formation in bovine serum
lubricated contacts under rolling/sliding conditions,” in Proc. of the
Institution of Mechanical Engineers, Part J: Journal of Engineering
Tribology, 227 (5), pp. 459-475, 2013.
[24] I. Janů, J. Kočiš, T. Návrat, Z. Florian, P. Wendsche,. “A comparative
analysis of socon CS and socon pedicle screws in view of their use for
treatment of osteoporotic fractures of the thoracolumbal spine. a
biomechanical study,“ Acta Chirurgiae Orthopaedicae et
Traumatologiae Cechoslovaca, 78 (4), pp. 334-338, 2011.
[25] I. Cizmar, Z. Florian, T. Navrat, D. Palousek, “A biomechanical study of
a suture between the deltoid muscle and a free tendon graft for
reconstruction of the elbow extension,” Biomedical Papers, 155 (1),
pp. 79-84, 2011.
[26] L. Urbanová, R. Srnec, P. Proks, L. Stehlík, Z. Florian, T. Návrat, A.
Nečas, “Comparison of the resistance to bending forces of the 4.5 LCP
plate-rod construct and of 4.5 LCP alone applied to segmental femoral
defects in miniature pigs,” Acta Veterinaria Brno, 79 (4), pp. 613-620,
2010.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:68359", author = "V. Fuis and P. Janicek and T. Navrat", title = "Stress Analysis of the Ceramics Heads with Different Sizes under the Destruction Tests", abstract = "The global solved problem is the calculation of the
parameters of ceramic material from a set of destruction tests of
ceramic heads of total hip joint endoprosthesis. The standard way of
calculation of the material parameters consists in carrying out a set of
3 or 4 point bending tests of specimens cut out from parts of the
ceramic material to be analysed. In case of ceramic heads, it is not
possible to cut out specimens of required dimensions because the
heads are too small (if the cut out specimens were smaller than the
normalised ones, the material parameters derived from them would
exhibit higher strength values than those which the given ceramic
material really has). A special destruction device for heads
destruction was designed and the solved local problem is the
modification of this destructive device based on the analysis of
tensile stress in the head for two different values of the depth of the
conical hole in the head. The goal of device modification is a shift of
the location with extreme value of σ1max from the region of head’s
hole bottom to its opening. This modification will increase the
credibility of the obtained material properties of bioceramics, which
will be determined from a set of head destructions using the Weibull
weakest link theory.
", keywords = "Ceramic heads, depth of the conical hole, destruction
test, material parameters, principal stress, total hip joint
endoprosthesis.", volume = "8", number = "12", pages = "1945-5", }
