## Mechanics of Composite Materials with MATLAB by Prof. George Z. Voyiadjis, Prof. Peter I. Kattan (auth.)

By Prof. George Z. Voyiadjis, Prof. Peter I. Kattan (auth.)

This textbook uses the preferred desktop software MATLAB because the significant laptop software to review Mechanics of Composite fabrics. it's written particularly for college students in Engineering and fabrics technological know-how analyzing step by step options of composite fabric mechanics difficulties utilizing MATLAB. all the 12 chapters is definitely dependent and features a precis of the elemental equations, MATLAB capabilities utilized in the bankruptcy, solved examples and difficulties for college students to unravel. the most emphasis of Mechanics of Composite fabrics with MATLAB is on studying the composite fabric mechanics computations and on knowing the underlying ideas. The ideas to many of the given difficulties look in an appendix on the finish of the book.

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3) Vm = 1 - Vf; y = Vf*NU12f + Vm*NUm; function y = E2(Vf,E2f,Em,Eta,NU12f,NU21f,NUm,E1f,p) %E2 This function returns Young’s modulus in the % transverse direction. 10) % Use the value zero for any argument not needed % in the calculations. 14) % Use the value zero for any argument not needed % in the calculations. 2 MATLAB Functions Used if p == 1 y = 1/(Vf/G12f + Vm/Gm); elseif p == 2 y = 1/((Vf/G12f + EtaPrime*Vm/Gm)/(Vf + EtaPrime*Vm)); elseif p == 3 y = Gm*((Gm + G12f) - Vf*(Gm - G12f))/((Gm + G12f) + Vf*(Gm - G12f)); end function y = Alpha1(Vf,E1f,Em,Alpha1f,Alpham) %Alpha1 This function returns the coefficient of thermal % expansion in the longitudinal direction.

This is deformation that takes place independently of any applied load. Let ∆T be the change in temperature and let α1 , α2 , and α3 be the coeﬃcients of thermal expansion for the composite material in the 1, 2, and 3-directions, respectively. 11), the strains ε1 , ε2 , and ε3 are called the total strains, α1 ∆T , α2 ∆T , and α3 ∆T are called the free thermal strains, and (ε1 −α1 ∆T ), (ε2 − α2 ∆T ), and (ε3 − α3 ∆T ) are called the mechanical strains. 2 but without the tensile force. Suppose the cube is heated 30◦ C above some reference state.

Using numerical models such as the ﬁnite element method. 2. Using models based on the theory of elasticity. 3. Using rule-of-mixtures models based on a strength-of-materials approach. Consider a unit cell in either a square-packed array (Fig. 1) or a hexagonal-packed array (Fig. 2) – see [1]. The ratio of the cross-sectional area of the ﬁber to the total cross-sectional area of the unit cell is called the ﬁber volume fraction and is denoted by V f . 5 or greater. Similarly, the matrix volume fraction V m is the ratio of the cross-sectional area of the matrix to the total cross-sectional area of the unit cell.