Validation of the Quadratic Composite Failure Criteria with Out-of-Plane Shear Terms

Abstract

The Tsai–Wu Quadratic Failure Criterion is a modified tensor polynomial criterion, that is widely used and the most readily accepted failure criterion for orthotropic materials. While it is an excellent criterion for the majority of composite structures, there is limited experimental validation of this criterion when predicting the failure envelope for “combined shear” failures or, better stated, failures that involve both 2-D (in-plane) and 3-D (out-of-plane) shear stresses in an orthotropic material or laminate. Since several common types of material failure involve complex stress states, the ability to incorporate the effect of 3-D shear stress into failure prediction is attractive. The 3-D Tsai–Wu quadratic failure criterion that incorporates multiple shear stresses is presented in this text and tests were conducted on several laminate specimens in an effort to validate this criterion. Failure load predictions were made to validate the modified 3-D criterion and compare the results with the 2-D Tsai–Wu criterion for specialized cases where multiple shear stresses were present at failure. This testing clearly shows strong agreement between the 3-D criterion’s predictions and experiments for these cases, implying that the standard 2-D Tsai–Wu quadratic failure criterion can be safely extended, through the addition of terms, to 3-D cases.

Failure behavior of composite laminates under four-point bending

“…[8][9][10][11][12][13][14][15] However, similar studies are quite limited in number for out-of-plane loads (i.e. bending moment, twisting moment, transverse force, or a combination of them), and the existing ones [16][17][18][19][20][21][22] are not comprehensive; only some chosen configurations were studied under outof-plane loads: [0 8 19 [(AE45/90/0) 3 ] s , 20 [5] 22 In these studies, usually three-point bending tests were performed. 16,17,[19][20][21] The disadvantage of this test setup is that the line force applied by the upper support causes non-uniform bending moment in the critical region of the plate.…”

“…8–15 However, similar studies are quite limited in number for out-of-plane loads (i.e. bending moment, twisting moment, transverse force, or a combination of them), and the existing ones 16–22 are not comprehensive; only some chosen configurations were studied under out-of-plane loads: [0 8 /90 8 ] s , [90 8 /0 8 ] s , [(0/90) 8 ] s , [(45/0/−45) 5 ] s , [0 18 /(90/−90)] s , 16 [(±45/90/0) 3 ] s , 17 [(0 4 /90 4 ) 2 ] s , [45 3 /0 4 /−45 3 /90 3 ] s , 18 [0 14 /(22/−22) 3 ] s , [0 16 /(39/−39) 2 ] s , [0 18 /(90/−90)] s , 19 [(±45/90/0) 3 ] s , 20 [5] 8 , [15] 8 , [5 2 /15 4 /5 2 ], [15 2 /5 4 /15 2 ], [15 2 /5 2 /15 2 /5 2 ], [5 2 /15 2 /5 2 /15 2 ]. 22 In these studies, usually three-point bending tests were performed.…”

“…22 In these studies, usually three-point bending tests were performed. 16,17,19–21 The disadvantage of this test setup is that the line force applied by the upper support causes non-uniform bending moment in the critical region of the plate. In that case, finite element results highly depend on mesh density.…”

Design and Development of a New Right Arm Prosthetic Kit for a Racing Cyclist

“…Multiple criteria of failure are used for the design of composites structures. One of the most used is the Tsai-Wu failure criteria and the latter was chosen here for its ability to differentiate tension and compression failure [2] . A value of 1 indicates that the material has failed to sustain the stresses deployed.…”

Matrix and Fibre Stiffness Degradation of a Quasi-isotrope Graphite Epoxy Laminate Under Flexural Bending Test

“…In these applications, a proper dimensioning of composite structures requires the use of reliable and precise failure criteria. A large number of established formulations exist [1][2][3][4] and new ones are still being published [5][6][7][8][9][10][11][12][13][14]. However, the choice among them remains difficult [2,15].…”