Using the reciprocal theorem, choose the first state as u i (1) = Ax i ; F

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Using the reciprocal theorem, choose the first state as ui(1)= Axi; Fi(1)= 0; Ti(1) = 3kAni, and take the second state as ui, Fi, Ti to show that the change in volume of the body is given by

AV= * = [ endv = } / { [ Fix;dv + [ Tixids} 3k

where A is an arbitrary constant and k is the bulk modulus.

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