7.2.2 Fiber-reinforced-composite material undergoing isostress loading conditions Deformation D=D+D Assuming a model with the same cross- sectional area e⑧。=Er/+emδnm δrefers to thickness PDF文件使用"pdfFactory Pro'”试用版本创建fm,fineprint.com,cn
7.2.2 Fiber-reinforced-composite material undergoing isostress loading conditions ec dc = ef d f + em d m Deformation Dc = Df ＋ Dm d refers to thickness Assuming a model with the same crosssectional area PDF 文件使用 "pdfFactory Pro" 试用版本创建 {www.fineprint.com.cn
eδ。=Erδr+emδm Multiplied by a cross-sectional area VeEc=ErVt+Em Vm Ec=Efvr+Em Vm PDF文件使用"pdfFactory Pro”试用版本创建w,fineprint..com,cn
ec = ef vf + em vm Vc ec = ef Vf + em Vm ec dc = ef d f + em d m Multiplied by a cross-sectional area PDF 文件使用 "pdfFactory Pro" 试用版本创建 {www.fineprint.com.cn
Ec=Efvf+Em Vm Using the Hook's Law: E E m o。==0m m PDF文件使用"pdfFactory Pro'”试用版本创建wm,fineprint.com,cn
ec = ef vf + em vm m m m f f f c c v E v E E s s s = + sc = sf = sm m m f f c E v E v E = + 1 Using the Hook’s Law： PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn
Prediction of elastic modulus of composites (2) The load acts transversely to the longitudinal direction of the fibers 28.0 21.0 0 14.0 Vm 7.0 E2 Em E 0.5 0.6 0.7 PDF文件使用"pdfFactory Pro”试用版本创建徭fineprint.com,cn
Prediction of elastic modulus of composites (2) E 2 / 1 0 3 M P a The load acts transversely to the longitudinal direction of the fibers f f m m 2 E v E v E 1 = + 0.5 0.6 0.7 28.0 21.0 14.0 7.0 vf Em PDF 文件使用 "pdfFactory Pro" 试用版本创建 Ì駌ÿ www.fineprint.com.cn
Illustrative Problem 7.2 A laminar composite of polyester reinforced with continuous glass fibers is loaded under the isostress situation.The modulus of elasticity for the glass fibers is 69GPa and for polyester it is 3.4GPa.The volume fraction of glass fibers is 40%.Find the modulus for the composite. SOLUTION (3.4 GPa)(69 GPa E。 =5.5GPa (0.6)(69GPa)+(0.4)3.4GPa) PDF文件使用"pdfFactory Pro”试用版本创建www,fineprint.com.cn
A laminar composite of polyester reinforced with continuous glass fibers is loaded under the isostress situation. The modulus of elasticity for the glass fibers is 69GPa and for polyester it is 3.4GPa. The volume fraction of glass fibers is 40%. Find the modulus for the composite. Illustrative Problem 7.2 SOLUTION E GPa c 5.5 (0.6)(69GPa) (0.4)(3.4GPa) (3.4 GPa)(69 GPa) = + = PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn