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A non-linear stochastic approach of ligaments and tendons fractional-order hereditariness
- Publication Year :
- 2020
- Publisher :
- ELSEVIER SCI LTD, 2020.
-
Abstract
- In this study the non-linear hereditariness of knee tendons and ligaments is framed in the context of stochastic mechanics. Without losing the possibility of generalization, this work was focused on knee Anterior Cruciate Ligament (ACL) and the tendons used in its surgical reconstruction. The proposed constitutive equations of fibrous tissues involves three material parameters for the creep tests and three material parameters for relaxation tests. One-to-one relations among material parameters estimated in creep and relaxations were established and reported in the paper. Data scattering, observed with a novel experimental protocol used to characterize the mechanics of the tissue, was modelled as the outcome of the random mechanical parameters. The numerical example proposed in the paper shows that for an assigned probability density function of the material random parameters, the parameters of the probability density function (pdf) may be obtained by a statistical analysis of the experimental data.
- Subjects :
- Generalization
Quantitative Biology::Tissues and Organs
Anterior cruciate ligament
Physics::Medical Physics
Constitutive equation
Non-linear creep
Aerospace Engineering
020101 civil engineering
Ocean Engineering
Context (language use)
Probability density function
02 engineering and technology
0201 civil engineering
Non-linear relaxation
0203 mechanical engineering
medicine
Civil and Structural Engineering
Mathematics
Random hereditariness
Mechanical Engineering
Mathematical analysis
Relaxation (iterative method)
Statistical and Nonlinear Physics
musculoskeletal system
Condensed Matter Physics
Nonlinear system
020303 mechanical engineering & transports
medicine.anatomical_structure
Nuclear Energy and Engineering
Creep
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....50fdb847dea044aef33f9d02a5482fa0