Pendahuluan Material Komposit BAB 4 Macromechanical Analysis of a Laminate Laminate Modulus Qomarul Hadi, ST,MT Teknik Mesin Universitas Sriwijaya Sumber Bacaan Mechanics of Composite Materials by Kaw

In-Plane and Flexural Modulus of a Laminate

In-Plane and Flexural Modulus of a Laminate The [A*], [B*], and [D*] matrices are called the extensional compliance matrix, coupling compliance matrix, and bending compliance matrix respectively.

In-Plane Engineering Constants of a Laminate For a symmetric laminate:

In-Plane Engineering Constants of a Laminate

In-Plane Engineering Constants of a Laminate

In-Plane Engineering Constants of a Laminate

In-Plane Engineering Constants of a Laminate

In-Plane Engineering Constants of a Laminate

In-Plane Engineering Constants of a Laminate

In-Plane Engineering Constants of a Laminate

Flexural Engineering Constants of a Laminate [B] = 0

Flexural Engineering Constants of a Laminate

Flexural Engineering Constants of a Laminate

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Pendahuluan Material Komposit BAB 4 Macromechanical Analysis of a Laminate Laminate Modulus: Example Qomarul Hadi, ST,MT Teknik Mesin Universitas Sriwijaya Sumber Bacaan Mechanics of Composite Materials by Kaw

Example 4.4

Example 4.4

Example 4.4

Example 4.4

Example 4.4

Example 4.4

Example 4.4

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Pendahuluan Material Komposit BAB 4 Macromechanical Analysis of a Laminate Hygrothermal Loads Qomarul Hadi, ST,MT Teknik Mesin Universitas Sriwijaya Sumber Bacaan Mechanics of Composite Materials by Kaw

Mechanical Strains

Hygrothermal Stresses

Zero resultant stresses

Zero resultant stresses

Deriving final formula

Deriving final formula

Deriving final formula

Deriving final formula

Other three equations – from zero resultant moments

Final formula

Final formula

Example 4.5 Calculate the residual stresses at the bottom surface of the 90o ply in a two ply [0/90] Graphite/Epoxy laminate subjected to a temperature change of -75oC. Use the unidirectional properties of Graphite/Epoxy lamina from Table 2.1. Each lamina is 5 mm thick.

Example 4.5

Example 4.5

Example 4.5

Example 4.5

Example 4.5

Example 4.5

Example 4.5

Example 4.5

Example 4.5

Global Strains for Example 4.3

Global Stresses for Example 4.3

Coefficients of Thermal and Moisture Expansion To find coefficients of thermal and moisture expansion of laminates Symmetric laminates [B] = 0 No bending occurs under thermal hygrothermal loads Assuming ∆T = 1 and ∆C = 0

Coefficients of Thermal and Moisture Expansion To find coefficients of thermal and moisture expansion of laminates Symmetric laminates [B] = 0 No bending occurs under thermal hygrothermal loads Assuming ∆T = 0 and ∆C = 1

Example 4.6

Example 4.6

Example 4.6 ∆T = 1°C

Example 4.6

Example 4.6 ∆C = 1 kg/kg

Example 4.6