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Arterial Stiffness and Extracellular Matrix

2006
The growing prevalence and associated risk of arterial stiffness provide a major challenge to better understand the underlying causes and the resultant physiological impact of this condition. Structural components within the arterial wall, mainly collagen and elastin, are considered to be major determinants of arterial stiffness. Thus, quantitative and
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Stiffness of woven ceramic matrix composites with matrix cracks

40th Structures, Structural Dynamics, and Materials Conference and Exhibit, 1999
The paper represents a part of the current effort dealing with the analysis of plain weave ceramic matrix woven composites (CMC) with matrix cracks. Several issues that are important for the analysis of such composites and for a development of an analytical model of thermography-based detection of cracks are addressed. They include: 1.
Victor Birman, Larry Byrd
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Piping Flexibility Analysis by Stiffness Matrix

Journal of Applied Mechanics, 1959
Abstract A method of analysis is formalized for the solution of thermal-expansion stress problems in piping systems. The method is particularly suited for a complex system involving many anchors, closed loops within loops and/or interconnecting branch lines but without intermediate partial constraints.
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Effect of matrix cracking on stiffness of composite laminates

Mechanics of Composite Materials and Structures, 1996
ABSTRACT Effects of matrix cracking on the sitiffness of composite laminates were investigated. Laminate stiffness reduction caused by matrix cracking was predicted by a finite element model, and the prediction was compared with some existing analytical models and available experimental data.
J. X. Tao, C. T. Sun
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The explicit inverse of the stiffness matrix

International Journal of Solids and Structures, 1992
This paper has for the first time presented the explicit inverse of the stiffness matrix of a linear elastic structure. It is based on the property that the inverse of a nonsingular matrix is equal to the adjoint of the matrix divided by the determinant of the matrix.
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Matrix-Free Methods for Stiff Systems of ODE’s

SIAM Journal on Numerical Analysis, 1986
The popular backward differentiation methods for solving stiff systems of ordinary differential equations, being implicit, require the solution of a linear algebraic system at each time step. The coefficient matrix is closely related to the Jacobian matrix of the differential system, and large systems may require considerable storage for the Jacobian ...
Brown, Peter N., Hindmarsh, Alan C.
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The Matrix Stiffness Method-Part 2

1988
In a final presentation of the matrix stiffness method of structural analysis, a general technique applicable to all classes of structure is outlined. The technique uses coordinate transformation and it is first necessary to discuss the axes of reference used to define the structure and its actions.
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Stiffness matrix and quantitative measure of formation rigidity

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009
Rigidity of formation is an important concept in multi-agent localization and control problems. There are well-developed existing methods to test rigidity of a given graph. However, little work is done on quantitative measurement of formation rigidity.
Guangwei Zhu, Jianghai Hu
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Note on the normal form of a spatial stiffness matrix

IEEE Transactions on Robotics and Automation, 2001
There has been some recent interest in the problem of designing compliance mechanisms with a given spatial stiffness matrix. A key result that has proven useful in the design of such mechanisms is Loncaric's normal form. When a spatial stiffness matrix is described in an appropriate coordinate frame, it will have a particularly simple structure.
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Rank and Degeneracy of Stiffness Matrix

1972
In order to determine the degree of degeneracy and the rank of the stiffness matrices let us consider the equilibrium of the system. Since the loads acting on the system are in equilibrium, the following equation must always be satisfied.
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