Packet C: Tossup 10

A class of methods in solid mechanics named for this quantity include Castiligano’s method, in which partial derivatives of this quantity (-5[1])give partial displacements. Alan Griffith took the derivative of this quantity with respect (-5[1])to crack length to derive his theory of fracture mechanics, in which (-5[1])the square of stress (-5[2])intensity factor is proportional to the areal release rate of this quantity. (10[1])The maximum volumetric (-5[1])density of this quantity that can be reached before a material ruptures defines its toughness. (-5[1])The volumetric (10[1])density of this quantity (10[1])associated with elastic strain (-5[1])is one-half (-5[1])Young’s (10[1]-5[1])modulus (10[1]-5[1])times strain (10[1])squared. (-5[1])For a Hookean (-5[2])spring, (-5[2])this (-5[2])quantity (-5[2])is equal to one-half (10[1])spring (10[3])constant (10[1]-5[2])times (10[1]-5[1])displacement (10[3]-5[2])squared. (10[16]-5[5])For 10 (10[1])points, (10[3]-5[1])work (10[2]-5[1])is a transfer of what (10[1])quantity measured in (10[1])joules? (10[5])■END■ (10[25]0[3])

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