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This was differentially enhanced by TGFB1 and mechanical loading to give subtle control of the new, remodeled matrix material properties.
(mathbb {P}_{alpha }) is the polarization tensor described, e.g., by Walpole (1969) and Ponte Castaneda (1998) depending on the matrix material properties and on the geometry and the orientation of the fiber α.
Results show that the geometric configuration, the matrix material properties as well as the impact velocity have significant influence on the matching relationships.
We observe that the presence of fluctuations in either inclusions or matrix material properties leads to smaller effective modulus, smaller strain hardening and a reduction of the yield stress of the composite.
The latter includes, among other parameters, the bone matrix material properties, which in turn depend on the hierarchical structural features that make up bone as well as their composition.
The dependence of Mode I and II stress intensity factors of single and multiple interface cracks on fiber and matrix material properties, crack length and distance between cracks are investigated.
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The nodal displacement vectors {Q*} obtained from Equation 8 are further post-processed to compute strains and corresponding stress values S* within each element using Equation 9, in which matrix [D] represents the elasticity matrix (material property) while matrix [B] is a function of approximating polynomial or shape functions.
Finally, each tetrahedron element is attributed with either rock matrix or porous material properties, according to its position information recorded in the 3D entity.
Advanced composite materials, which are usually continuous fibers (mostly carbon and glass) within a polymer matrix provide superior material properties than metals and enable lighter structural designs to be achieved in aerospace applications.
Using 3D fibroblast-collagen lattice model, we have quantified changes in matrix tension and material properties following remodeling by blockade of cell-generated tension with cytochalasin D. This demonstrated a time-dependent shortening of the collagen network, progressively stabilized into a built-in tension within the matrix.
S denotes the matrix of the material properties independently from the geometry of the element.
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