16 - examples - volume growth

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Presentation transcript:

16 - examples - volume growth

example - growth of aortic wall kinematics of finite growth mass source mass flux growth tensor multiplicative decomposition Lee [1969], Simo [1992], Rodriguez, Hoger & Mc Culloch [1994], Epstein & Maugin [2000], Humphrey [2002], Ambrosi & Mollica [2002], Himpel, Kuhl, Menzel & Steinmann [2005] example - growth of aortic wall

example - growth of aortic wall the potato equations - kinematics mass source mass flux growth tensor multiplicative decomposition Lee [1969], Simo [1992], Rodriguez, Hoger & Mc Culloch [1994], Epstein & Maugin [2000], Humphrey [2002], Ambrosi & Mollica [2002], Himpel, Kuhl, Menzel & Steinmann [2005] example - growth of aortic wall

example - growth of aortic wall volume growth at constant density • free energy • stress • growth tensor • mass source kinematic coupling of growth and deformation Rodriguez, Hoger & McCulloch [1994], Epstein & Maugin [2000], Humphrey [2002] example - growth of aortic wall

example - growth of aortic wall volume growth of aortic wall normosensitive hypersensitive severeley hypersensitive wall thickening-thickening of musculoelastic fascicles Matsumoto & Hayashi [1996], Humphrey [2002] example - growth of aortic wall

example - growth of aortic wall volume evolution in cylindrical tube stress-induced volume growth Himpel, Kuhl, Menzel & Steinmann [2006] example - growth of aortic wall

example - growth of aortic wall volume evolution in cylindrical tube stress-induced volume growth Himpel, Kuhl, Menzel & Steinmann [2006] example - growth of aortic wall

example - growth of aortic wall volume evolution in cylindrical tube stress-induced cross sectional growth Himpel, Kuhl, Menzel & Steinmann [2006] example - growth of aortic wall

example - growth of aortic wall qualitative simulation of stent implantation initial conditions adiposis calcification growing plaque early stage soft plaque pressed into wall later stage stiff plaque induces high stresses overall thickening - thickening of individual fascicles Holzapfel [2001], Holzapfel & Ogden [2003], Kuhl, Maas, Himpel & Menzel [2007] example - growth of aortic wall

example - growth of aortic wall qualitative simulation of stent implantation stretch ratio restenotic conditions re-nerrowing of x-section in response to high stress example - growth of aortic wall

example - growth of aortic wall generation of patient specific model computer tomography - typical cross section example - growth of aortic wall

example - growth of aortic wall generation of patient specific model outline of ct image - typical cross section example - growth of aortic wall

example - growth of aortic wall generation of patient specific model from computer tomography to finite element model example - growth of aortic wall

example - growth of aortic wall stent implantation - patient specific model tissue growth-response to virtual stent implantation Kuhl, Maas, Himpel & Menzel [2007] example - growth of aortic wall

example - growth of aortic wall stent implantation - patient specific model tissue growth-response to virtual stent implantation Kuhl, Maas, Himpel & Menzel [2007] example - growth of aortic wall