Optimal Experimental Measurements of Anisotropic Failure Tensors

TLDR

The study discusses resolving components of strength tensors from experimental data. Optimal experiments for measuring the interaction component F12 with tubular specimens and for determining biaxial stress ratios using compression‑internal pressure and tension‑torsion tests are discussed and experimentally demonstrated. The study finds that non‑interaction component variations are independent of tension‑compression strength ratios and magnitudes and correlate with engineering strength scatter, whereas the interaction component F12 variation depends on biaxial strength magnitude and its own magnitude, lacking a defined relative scatter, and optimal biaxial stress ratios were experimentally demonstrated.

Abstract

The resolution of the components of strength tensors derived from experimental data is discussed. It is shown that the variations in the non- interaction components are independent of the tension-compression strength ratios and magnitudes and their relative scatter can be related directly to the scatter in the engineering strength. The variation in the interaction component F 12 , is dependent on both the magnitude of the biaxial strength and the magnitude of F 12 ; it has no well defined relative scatter and only its absolute resolution can be determined from experi mental scatter. Optimal experiments for F 12 using tubular specimens are discussed. Optimal biaxial stress ratios using compression-internal pressure and tension-torsion tests are discussed and experimentally demonstrated.