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| + | ==teaching in general== | ||
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| + | [[teaching_philososphy]] | ||
| + | [http://biomechanics.stanford.edu/me337/kuhl_conti.pdf (lecture notes continnum mechanics - linear)] | ||
| + | [http://biomechanics.stanford.edu/me337/kuhl_fem1.pdf (lecture notes finite element method - linear)] | ||
| + | [http://biomechanics.stanford.edu/me337/kuhl_fem2.pdf (lecture notes finite element method - nonlinear)] | ||
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==current courses== | ==current courses== | ||
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[http://biomechanics.stanford.edu/me337/kuhl06.pdf (5)] kuhl e, maas r, himpel g, menzel a: computational modeling of arterial wall growth - attempts towards patient-specific simulations based on computer tomography, biomech model mechanobiol, available online first, DOI 10.1007/s10237-006-0062-x | [http://biomechanics.stanford.edu/me337/kuhl06.pdf (5)] kuhl e, maas r, himpel g, menzel a: computational modeling of arterial wall growth - attempts towards patient-specific simulations based on computer tomography, biomech model mechanobiol, available online first, DOI 10.1007/s10237-006-0062-x | ||
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Revision as of 21:20, 6 April 2007
Contents |
teaching in general
teaching_philososphy (lecture notes continnum mechanics - linear) (lecture notes finite element method - linear) (lecture notes finite element method - nonlinear)
current courses
me 337 - mechanics of growth
tue thu 3:15-4:30
mc cullough 126
goals
in contrast to traditional engineering structures living structures show the fascinating ability to grow and adapt their form, shape and microstructure to a given mechanical environment. this course addresses the phenomenon of growth on a theoretical and computational level and applies the resulting theories to classical biomechanical problems like bone remodeling, hip replacement, wound healing, atherosclerosis or in stent restenosis. this course will illustrate how classical engineering concepts like continuum mechanics, thermodynamics or finite element modeling have to be rephrased in the context of growth. having attended this course, you will be able to develop your own problem-specific finite element based numerical solution techniques and interpret the results of biomechanical simulations with the ultimate goal of improving your understanding of the complex interplay between form and function.
syllabus
| day | date | topic | slides | homework | |
|---|---|---|---|---|---|
| tue | apr | 03 | introduction - different forms of growth | s01 | |
| thu | apr | 05 | introduction – history of growth theories | s02 | h01 wiki growth |
| tue | apr | 10 | kinematic equations – finite growth | ||
| thu | apr | 12 | balance equations – classical | ||
| tue | apr | 17 | balance equations – growth | galileo problem | |
| thu | apr | 19 | constitutive equations – density growth | ||
| tue | apr | 24 | constitutive equations – volume growth | ||
| thu | apr | 26 | finite element method – np density theory | ||
| tue | mai | 01 | finite element method – np density matlab | ||
| thu | mai | 03 | examples – bone remodeling | example bone | |
| tue | mai | 08 | finite element method – ip density theory | ||
| thu | mai | 10 | finite element method – ip density matlab | matlab const | |
| tue | mai | 15 | finite element method – np vs ip comparison | take-home assign | |
| thu | mai | 17 | example – hip replacement, wound healing | ||
| tue | mai | 22 | kinematic equations – volume growth | ||
| thu | mai | 24 | balance equations – volume growth | galileo problem | |
| tue | mai | 29 | finite element method - ip volume theory | wiki growth | |
| thu | mai | 31 | finite element method – ip volume matlab | ||
| tue | jun | 05 | example – atherosclerosis, in stent restenosis | ||
| thu | jun | 07 | wiki session – vote on articles |
slides
additional reading
don't feel forced to read all of this! it's just additional information that some of you might want to look at!
(1) taber l: biomechanics of growth, remodeling, and morphogenesis, appl mech rew 48, 487-545, 1995
(2) jacobs, cr, levenston me, beaupre gs, simo jc, carter dr: numerical instabilities in bone remodeling simulations: the advantages of a node-based finite element approach, j biomechanics 28, 449-459, 1995
(3) kuhl e, menzel a, steinmann p: computational modeling of growth - a critical review, a classification and two new consistent approaches, computational mechanics 32, 71-88, 2003
(4) rodriguez ek, hoger a, mc culloch a: stress-dependent finite growth in soft elastic tissues, j biomechanics 27, 455-467, 1994
(5) kuhl e, maas r, himpel g, menzel a: computational modeling of arterial wall growth - attempts towards patient-specific simulations based on computer tomography, biomech model mechanobiol, available online first, DOI 10.1007/s10237-006-0062-x