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SoSe 2020 - WiSe 2021/22


Projekt Rebound indentation Test


Argatov, Ivan


Mündliche Prüfung


Fakultät V

Institut für Mechanik

35371200 FG Mechanik, insbes. Systemdynamik und Reibungsphysik

Physikalische Ingenieurwissenschaft


C 8-4

Starcevic, Jasminka


Learning Outcomes

Understanding and using mathematical models describing deformation of a soft biological tissue under rebound indentation. Skills to develop specific mathematical models for indentation testing of biological tissues, their analytical implementation, and analysis of results of mathematical modeling. Application of the theoretical foundations of the viscoelastic contact to a particular practical problem. Competencies provided by module (%) specialized knowledge 55 methodological competence 35 system knowledge 5 social competence 5


The so-called rebound indentation test is a hybrid-type test consisting of two stages, one of which is displacement-controlled, while the other can be regarded as load-controlled. In the second stage, the rebound deformation of an articular cartilage layer is recorded after the indenter removal. Based on the recently developed asymptotic models for deformation of thin viscoelastic layers, it is suggested to formulate the rebound indentation model for an arbitrary flat-ended indenter and a thin transversely isotropic viscoelastic layer (both in the compressible and incompressible cases).

Module Components


All Courses are mandatory.

Course NameTypeNumberCycleLanguageSWSVZ
Rebound Indentation TestPJ3537 L 012SoSeEnglish4

Workload and Credit Points

Rebound Indentation Test (PJ):

Workload descriptionMultiplierHoursTotal
Präsenszeit (presence time)15.04.0h60.0h
Prüfungsvorbereitung (Exam preparation)15.04.0h60.0h
Vor-/Nacharbeit (Ground- and reworking)15.04.0h60.0h
180.0h(~6 LP)
The Workload of the module sums up to 180.0 Hours. Therefore the module contains 6 Credits.

Description of Teaching and Learning Methods

Theoretical introduction, theoretical training with the use of software packages, working on the particular projects in small groups.

Requirements for participation and examination

Desirable prerequisites for participation in the courses:

a) obligatory: knowledge of mechanics and higher mathematics, possession of basic knowledge of mathematical models of contact phenomena (Indentation, Elastic deformation, Viscoelastic deformation) b) desirable: elements of mathematical physics and analytical methods

Mandatory requirements for the module test application:

This module has no requirements.

Module completion



Type of exam

Oral exam




No information

Duration of the Module

The following number of semesters is estimated for taking and completing the module:
1 Semester.

This module may be commenced in the following semesters:

Maximum Number of Participants

This module is not limited to a number of students.

Registration Procedures


Recommended reading, Lecture notes

Lecture notes

Availability:  available


Electronical lecture notes

Availability:  available
Additional information:
PDFs of relevant journal articles



Recommended literature
1. Popov, V.L., 2010. Contact Mechanics and Friction. Springer, New York.
2. Johnson, K.L., 1985. Contact Mechanics. Cambridge University Press, Cambridge.
3. Fischer-Cripps, A.C., 2004. Nanoindentation. Springer, New York.
4. Fung, Y.C., 1981. Biomechanics—Mechanical properties of living tissues. Springer Verlag, New York
5. Argatov I, Mishuris G., 2015. Indentation Testing of Biological Materials. Springer, Cham, Switzerland.

Assigned Degree Programs

This module is not used in any degree program.


No information