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Abstract: The term paper focuses on the research work done by Dr. Jay Humphrey, who is an alumnus of Georgia Tech. ... Humphrey¡¯s research interest lies in developing, extending and applying nonlinear continuum mechanics to understand the physio- and pathophysiology of cardiovascular tissues and finding proper method for treatment. ... This term paper presents his contributions to biomechanical continuum mechanics as well as reviews some of his research work. ... Jay Humphrey is a famous researcher of cardiovascular continuum mechanics. ... His primary research interest is to quantify the response of soft tissues to mechanical and thermo loads. To make a review of his work in continuum biomechanics, it is necessary to do some basic background introduction. ... Humphrey has proposed a theoretical framework using the third approach which seems really promising. We will review this work later in the term paper. ... Humphrey has made fairly big contributions to some of them. ... Fung showed in his paper that the diagram of stiffness (dP11/d¦Ë, where P11 is the uniaxial Piola-Kirchhoff stress and ¦Ë is the stretch ratio) versus the stress exhibits a nearly linear relationship. He defined the relationship to be: dP11/d¦Ë=a+bP11 which predicts an exponential relation between the stress and stretch. ... Fung made an assumption about the existence of a 3-D pseudostrain energy function W=c(eQ-1). ... Humphrey presented a theoretical framework for assigning biaxial loads on papillary muscles and determining a form of a particular class of three-dimensional pseudoelastic constitutive relation directly from data, which is the third approach of deriving such an equation talked earlier. ... Humphrey proposed a test that combines finite extension and torsion on papillary muscle. ... Humphrey suggested is N=(0, cos¦Õ, sin¦Õ). ... Humphrey also did a biaxial stretching test and found similar result. ... Humphrey pointed out that most membranes can be modeled using continuum theory base on the fact that the effect of bending moments and transverse shear to the membrane are negligible compared with in-plane load carrying capacity. ... Humphrey has a basically same idea with Dr. ... Humphrey pointed out that the ¡®kinematic model¡¯ accounts only for certain consequence of growth, but not the actual process of remodeling and growth. ... Humphrey¡¯s theory about growth and remodeling should be note is: First, soft tissues are non-uniform regardless of their gross homogeneity. ... Humphrey showed in his paper that first-order kinetics offers reasonable approximation. ... Humphrey is a forerunner in this field. ...
Review on Specified Experiments
After reviewing the contribution of Dr. Humphrey to continuum biomechanics from a theoretical point of view, I would like to focus on some experiments he done that is really interesting to me. ... The first attempt of the research designs a system that controls a large broad of loading capabilities. ... Humphrey et al found two properties that can be helpful for differentiating the components of the plaques. ... Humphrey et al did another very similar experiment to get a more clear idea about the time dependent nature of the human plaque. ...
Obviously, these work enriched our knowledge about the atheroclerosis. ... Humphrey is the first one to test the nonlinear character of the aneurysms. ... Humphrey limits his research on some sub-classes of the idealized models (spherical, axisymmetrical). ... Humphrey proposed to use a Fung-type pseudostrain-energy function :
(5)
, in which w is the is defined per unit undeformed area; c and a are material parameters; E11 and E22 are principal physical components of the Green strain tensor E. ... Humphrey showed in his researches is that limit point instability is very unlikely for the expansion and rupture of at least one sub-class of the aneurysms ,. ... Humphrey made his effort to answer the question whether the symptomatic lesions have greater possibility of rupture than the unsymptomatic ones. ... Humphrey suggested that further effort must be made to examine this problem. ... Humphrey is the author for books: Cardiovascular Solid Mechanics, Cardiovascular Soft Tissue Mechanic. His research work includes: Cardiovascular Mechanics; Hypertension; Aneurysms; Cardiac Development; Constitutive Theory; Growth, Remodeling and Damage Mechanics; Mechanobiology; Finite Element Methods; Elastodynamics; Finite Elasticity; Mixture Theory and Multiaxial; Thermo-Mechanical Experimentation.
Approximate Word count = 3354
Approximate Pages = 13.4
(250 words per page double spaced)
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