Non-linear viscoelastic constitutive model for bovine cortical bone tissue

• Autorzy: Pawlikowski M. , Barcz K.

Identyfikatory

DOI

10.1016/j.bbe.2016.03.005

• Języki publikacji: EN

Abstrakty

EN

In the paper a constitutive law formulation for bovine cortical bone tissue is presented. The formulation is based on experimental studies performed on bovine cortical bone samples. Bone tissue is regarded as a non-linear viscoelastic material. The constitutive law is derived from the postulated strain energy function. The model captures typical viscoelastic effects, i.e. hysteresis, stress relaxation and rate-dependence. The elastic and rheological constants were identified on the basis of experimental tests, i.e. relaxation tests and monotonic uniaxial tests at three different strain rates, i.e. [...] = 0:1 min^_1, [...] = 0:5 min^_1 and [...] = 1:0 min^_1. In order to numerically validate the constitutive model the fourth-order stiffness tensor was analytically derived and introduced to Abaqus® finite element (FE) software by means of UMAT subroutine. The model was experimentally validated. The validation results show that the derived constitutive law is adequate to model stress–strain behaviour of the considered bone tissue. The constitutive model, although formulated in the strain rate range [...] = 0:1-1:0 min^_1, is also valid for the strain rate values slightly higher than [...] = 1:0 min^_1. The work presented in the paper proves that the formulated constitutive model is very useful in modelling compressive behaviour of bone under various ranges of load.

Słowa kluczowe

EN

constitutive model; nonlinear viscoelasticity; stiffness tensor; experimental validation; FE simulation

PL

model konstytutywny; lepkosprężystość nieliniowa; tensor sztywności; weryfikacja doświadczalna; symulacja MES

• Wydawca: Nałęcz Institute of Biocybernetics and Biomedical Engineering of the Polish Academy of Sciences ; Elsevier
• Czasopismo: Biocybernetics and Biomedical Engineering
• Rocznik: 2016
• Tom: Vol. 36, no. 3
• Strony: 491--498
• Opis fizyczny: Bibliogr. 34 poz., rys., tab., wykr.

Twórcy

autor

Pawlikowski M.

• Institute of Mechanics and Printing, Warsaw University of Technology, ul. Narbutta 85, 02-524 Warszawa, Poland

autor

Barcz K.

• Institute of Mechanics and Printing, Warsaw University of Technology, ul. Narbutta 85, 02-524 Warszawa, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.