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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 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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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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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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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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The role of matrix stiffness in regulating cell behavior†

Hepatology, 2008
Matrix stiffness (resistance to deformation), one of the many mechanical forces acting on cells, is increasingly appreciated as an important mediator of cell behavior. It regulates cell signaling broadly, with effects on growth, survival, and motility. Although the stiffness optima for different kinds of adherent cells vary widely, it is generally true
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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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Assembling the System Stiffness Matrix

2016
Having decomposed the structures into nodes and elements, it is clear that knowing the nodal displacements will give us the internal loads in the elements. The displacements at the closed degrees of freedom are known, but we must still compute the displacements at the open degrees of freedom.
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The stiffness of extracellular matrix in regulating cellular metabolism

American Journal of Physiology-Cell Physiology
Cells interact dynamically with the extracellular matrix (ECM), which provides both structural support and biochemical signals that regulate various cellular processes. Among these, the mechanical properties of the ECM, particularly stiffness, play a crucial role in governing cell differentiation, migration, and survival.
Boyang Zha, Chunlei Zhang, Congying Wu
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