Volume 3, Issue 1
Some Topics from Continuum Mechanics Related to Brain Neuro-Mechanics.

ALAN WINEMAN

Int. J. Numer. Anal. Mod. B,3 (2012), pp. 1-19

Published online: 2012-03

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  • Abstract
A number of topics from continuum mechanics are presented that are useful in developing mathematical models of brain neuromechanics. Part I reviews basic concepts used to describe deformation or distortion of brain tissue, strains, stresses, their connection and material stiffness. Part II presents concepts from viscoelasticity used to describe the time dependent response of brain tissue such as stress relaxation, creep, response to sinusoidal loading, energy dissipation, characteristic response times and their alteration due to non-mechanical influences. Part III describes recent modeling approaches that can be used to describe microstructural changes in materials due to large deformation, disease or other non-mechanical sources.
  • AMS Subject Headings

74A20 74D10 74L15

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-3-1, author = {ALAN WINEMAN}, title = {Some Topics from Continuum Mechanics Related to Brain Neuro-Mechanics.}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2012}, volume = {3}, number = {1}, pages = {1--19}, abstract = {A number of topics from continuum mechanics are presented that are useful in developing mathematical models of brain neuromechanics. Part I reviews basic concepts used to describe deformation or distortion of brain tissue, strains, stresses, their connection and material stiffness. Part II presents concepts from viscoelasticity used to describe the time dependent response of brain tissue such as stress relaxation, creep, response to sinusoidal loading, energy dissipation, characteristic response times and their alteration due to non-mechanical influences. Part III describes recent modeling approaches that can be used to describe microstructural changes in materials due to large deformation, disease or other non-mechanical sources.}, issn = {}, doi = {https://doi.org/10.4208/aamm.10-m1030}, url = {http://global-sci.org/intro/article_detail/ijnamb/267.html} }
TY - JOUR T1 - Some Topics from Continuum Mechanics Related to Brain Neuro-Mechanics. AU - ALAN WINEMAN JO - International Journal of Numerical Analysis Modeling Series B VL - 1 SP - 1 EP - 19 PY - 2012 DA - 2012/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1030 UR - https://global-sci.org/intro/article_detail/ijnamb/267.html KW - continuum mechanics KW - microstructural changes KW - large deformations AB - A number of topics from continuum mechanics are presented that are useful in developing mathematical models of brain neuromechanics. Part I reviews basic concepts used to describe deformation or distortion of brain tissue, strains, stresses, their connection and material stiffness. Part II presents concepts from viscoelasticity used to describe the time dependent response of brain tissue such as stress relaxation, creep, response to sinusoidal loading, energy dissipation, characteristic response times and their alteration due to non-mechanical influences. Part III describes recent modeling approaches that can be used to describe microstructural changes in materials due to large deformation, disease or other non-mechanical sources.
ALAN WINEMAN. (2012). Some Topics from Continuum Mechanics Related to Brain Neuro-Mechanics.. International Journal of Numerical Analysis Modeling Series B. 3 (1). 1-19. doi:10.4208/aamm.10-m1030
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