Combining Thermoelastic and Stress Function Data to Evaluate Individual Stresses Around a Near-Edge Hole

Determining individual stresses thermoelastically

“…Representing stresses associated with each of the measured TSA and PSA data as derivatives of a stress function could potentially improve the quality of the TSA-PSA-evaluated principal stresses of Fig. 10 as the hole is approached, as well as provide the three in-plane stresses without involving the isoclinics [17][18][19]40]. Motivated by a desire to evaluate stress concentrations, and the relevance of some analytical features, most developed approaches for separating measured temperature data into individual stresses are associated with boundaries.…”

“…7 TSA-determined rectangular components of stress compared with FEM and theory along a horizontal line in a diametrally compressed aluminium disc [17] Fig. 8 Hoop stress at the boundary of a hole in a compressively loaded aluminium half-plane [19] Table 1 TSA-determined stress concentrations, s max(centre-line) /s 0 , at side notches in an aluminium tensile plate using BEM [22] Case P min (lbs)* Fig. 9 Normalized stresses along a vertical line in a horizontal aluminium beam subjected to threepoint bending [29] with some success.…”

“…Figure 7 demonstrates this general approach by separating the stresses in a loaded disc, while Fig. 8 uses an enhanced version of a somewhat similar concept to evaluate the tangential stress on the edge of a hole in a compressively loaded halfplane [19]. While restricted to isoptropic behaviour, this general technique, like the use of complex variables as in Figs 3 to 5, avoids utilizing unreliable TSA data near an edge.…”

“…Although complex-variable analyses were utilized to evaluate the individual stress components in Figs 3 to 5, real-variable forms of the Airy stress function, Q, of equation ( 3) can be convenient and effective for separating the stresses from measured S* in isotropic materials [17][18][19][20][21]. A general form of Q is available in polar coordinates, r and h, consisting of infinite series.…”

“…TSA-determined rectangular components of stress compared with FEM and theory along a horizontal line in a diametrally compressed aluminium disc[17] Hoop stress at the boundary of a hole in a compressively loaded aluminium half-plane[19] …”