It can be conveniently written as (4-s+/(b=21=-/(m-mm Using t;= Kink, the divergence theorem and(19), this expression leads to ee homework pro (oij-dji)dv=0 which applies to an arbitrary volume V if the integrand vanishes. This implies. > and therefore, can only be satisfied� � � � � � � It can be conveniently written as xitj − xj ti dS + xifj − xjfi � dV = � xi ∂vj − xj ∂vi � dV S V V ∂t ∂t Using ti = σkink, the divergence theorem and (19), this expression leads to (see homework problem): (σij − σji)dV = 0 V which applies to an arbitrary volume V , and therefore, can only be satisfied if the integrand vanishes. This implies: σij = σji (21) 8