TY - JOUR
T1 - Micromechanics and structural response of functionally graded, particulate-matrix, fiber-reinforced composites
AU - Genin, Guy M.
AU - Birman, Victor
N1 - Funding Information:
This work was supported in part by the Army Research Office through contract W911NF-07-1-0290 (Program Manager: Dr. Bruce LaMattina), the National Institutes of Health through Grant HL079165, and the Johanna D. Bemis trust.
PY - 2009/5/15
Y1 - 2009/5/15
N2 - Reinforcement of fibrous composites by stiff particles embedded in the matrix offers the potential for simple, economical functional grading, enhanced response to mechanical loads, and improved functioning at high temperatures. Here, we consider laminated plates made of such a material, with spherical reinforcement tailored by layer. The moduli for this material lie within relatively narrow bounds. Two separate moduli estimates are considered: a "two-step" approach in which fibers are embedded in a homogenized particulate matrix, and the Kanaun-Jeulin (Kanaun, S.K., Jeulin, D., 2001. Elastic properties of hybrid composites by the effective field approach. Journal of the Mechanics and Physics of Solids 49, 2339-2367) approach, which we re-derive in a simple way using the Benveniste (1988) method. Optimal tailoring of a plate is explored, and functional grading is shown to improve the performance of the structures considered. In the example of a square, simply supported, cross-ply laminated panel subjected to uniform transverse pressure, a modest functional grading offers significant improvement in performance. A second example suggests superior blast resistance of the panel achieved at the expense of only a small increase in weight.
AB - Reinforcement of fibrous composites by stiff particles embedded in the matrix offers the potential for simple, economical functional grading, enhanced response to mechanical loads, and improved functioning at high temperatures. Here, we consider laminated plates made of such a material, with spherical reinforcement tailored by layer. The moduli for this material lie within relatively narrow bounds. Two separate moduli estimates are considered: a "two-step" approach in which fibers are embedded in a homogenized particulate matrix, and the Kanaun-Jeulin (Kanaun, S.K., Jeulin, D., 2001. Elastic properties of hybrid composites by the effective field approach. Journal of the Mechanics and Physics of Solids 49, 2339-2367) approach, which we re-derive in a simple way using the Benveniste (1988) method. Optimal tailoring of a plate is explored, and functional grading is shown to improve the performance of the structures considered. In the example of a square, simply supported, cross-ply laminated panel subjected to uniform transverse pressure, a modest functional grading offers significant improvement in performance. A second example suggests superior blast resistance of the panel achieved at the expense of only a small increase in weight.
KW - Ashby method for materials selection
KW - Blast loading
KW - Composite materials
KW - Micromechanics
KW - Optimization of laminated composites
UR - http://www.scopus.com/inward/record.url?scp=62649150155&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2008.08.010
DO - 10.1016/j.ijsolstr.2008.08.010
M3 - Article
AN - SCOPUS:62649150155
SN - 0020-7683
VL - 46
SP - 2136
EP - 2150
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 10
ER -