7.2.3 Situation of matrix with plastic deformation When the matrix takes plastic deformation,the ultimate strength for a composite (ocu can be expressed as ocu=可uVy+o'mVm Where is the ultimate tensile strength of the fibers; is the deforming stress of the matrix PDF文件使用"pdfFactory Pro”试用版本创建ww,fineprint..com,cn
scu = sfu vf + s’ m vm 7.2.3 Situation of matrix with plastic deformation When the matrix takes plastic deformation, the ultimate strength for a composite (scu ) can be expressed as ： Where sfu is the ultimate tensile strength of the fibers; s’ m is the deforming stress of the matrix PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn
7.2.3 Situation of matrix with plastic deformation The ultimate strength of composite,cu must be greater than that of matrix omu,i.e.:cuomu oVy+o'mVm≥omu The critical volume fraction of fibers (V)is calculated from the formula: mu fcrit m PDF文件使用"pdfFactory Pro'”试用版本创建wm,fineprint.com,cn
The critical volume fraction of fibers (Vf crit) is calculated from the formula： fu m mu m fcrit v ' ' s s s s - - = sfu vf + s’ m vm ³ smu 7.2.3 Situation of matrix with plastic deformation The ultimate strength of composite, scu, must be greater than that of matrix smu , i.e.: scu ³ smu PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn
When discontinuous fibers line up orderly,the strength of the composite is corrected based on the following formula: For the fibers with unequal lengths,if /> the analysis is still appropriate: then cu=Cf vr+o'm Vm PDF文件使用"pdfFactory Pro”试用版本创建ww,fineprint..com,cn
m m c cu fu f v l l v ' 2 s s 1 ÷ +s ø ö ç è æ = - scu = sfu vf + s’ m v then m When discontinuous fibers line up orderly，the strength of the composite is corrected based on the following formula： For the fibers with unequal lengths, if l >> l c， the analysis is still appropriate: PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn
7.2.4 Stress Transfer uonisod Stress Load is transferred through shearing stress in the matrix to fibers PDF文件使用"pdfFactory Pro”试用版本创建wm,fineprint.com,cn
7.2.4 Stress Transfer t s Stress P o s i t i o n Load is transferred through shearing stress in the matrix to fibers PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn
7.2.4 Stress transfer uonisod Stress Critical length Stress Reinforcing is realized providing fibers can carry enough load. PDF文件使用"pdfFactory Pro”试用版本创建ww,fineprint..con.cn
t s Stress P o s i t i o n t s Stress P o s i t i o n 7.2.4 Stress transfer Critical length Reinforcing is realized providing fibers can carry enough load. PDF 文件使用 "pdfFactory Pro" 试用版本创建 www.fineprint.com.cn