Large time increment approach for fatigue damage computations

Abstract

This contribution focuses on the use of a new method to reduce the computational demands of fatigue damage computations using continuum damage mechanics. The LArge Time INcrement (LATIN) method incorporates a model order reduction approach namely the proper generalised decomposition (PGD). LATIN has been extended to tackle damage problems.

Continuum damage mechanics of cyclic viscoplasticity using asymptotic numerical method

“…Enhancements to the LATIN method was proposed to be used in conjunction with proper generalized decomposition (PGD) (Alameddin et al, 2018;Bhattacharyya et al, 2018aBhattacharyya et al, , 2018b model reduction technique, called LATIN-PGD, showing further improvements in computational efficiency. Non-proportional fatigue analysis (Bhattacharyya et al, 2018a) and damage computations (Alameddin et al, 2018 andBhattacharyya et al, 2018b) in 2D structures have been carried out using the mentioned method. Based on the concavity of the hysteresis loop automatic adjustments to chosen time increments have been proposed (Szmytka et al, 2015) which reduces the increment when a strong non-linearity is faced, otherwise a free evolution is allowed.…”

“…An iterative Large Time Increment Method (LATIN) (Ladev eze, 1984(Ladev eze, , 1985 considers the whole loading process in a single time increment (unlike the conventional step-by-step methods) showed significant improvement in computational performance (Boisse et al, 1990) with the ability to solve complex loading histories (Cognard and Ladev eze, 1993) and cyclic viscoplasticity (Cognard and Ladev eze, 1993;Stehly and Remond, 2002). Enhancements to the LATIN method was proposed to be used in conjunction with proper generalized decomposition (PGD) (Alameddin et al, 2018;Bhattacharyya et al, 2018aBhattacharyya et al, , 2018b model reduction technique, called LATIN-PGD, showing further improvements in computational efficiency. Non-proportional fatigue analysis (Bhattacharyya et al, 2018a) and damage computations (Alameddin et al, 2018 andBhattacharyya et al, 2018b) in 2D structures have been carried out using the mentioned method.…”