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Structural Health Monitoring with Piezoelectric Wafer Active Sensors, 2nd Edition by Victor Giurgiutiu

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image (93)

Upon solution, Eqs. (92), (93) are written as

{σxa=Ea1νa2(εxa+νaεya)Ea(1+νa)1νa2εISAσya=Ea1νa2(νaεxa+εya)Ea(1+νa)1νa2εISA(PWAS) (94)

image (94)

{σx=E1ν2(εx+νεy)σy=E1ν2(νεx+εy)(structure) (95)

image (95)

Recall the strain-displacement relations

{εxa=uxaxεya=uyay(PWAS) (96)

image (96)

{εx=uxxεy=uyy(structure) (97)

(97)

Substitution of ...

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