Single objective optimization for modeling elastoplastic damage of rock

作     者：Vazic, Bozo Bryant, Eric C. Bennett, Kane C. 

作者机构：Los Alamos Natl Lab Earth & Environm Sci Div ESS 17 Los Alamos NM 87545 USA 

出 版 物：《INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES》 (Int. J. Rock Mech. Min. Sci.)

年 卷 期：2025年第186卷

核心收录：

学科分类：0819[工学-矿业工程] 08[工学] 0818[工学-地质资源与地质工程] 

基　　金：Los Alamos National Laboratory, LANL U.S. Department of Energy, USDOE National Nuclear Security Administration, NNSA, (89233218CNA000001) National Nuclear Security Administration, NNSA Laboratory Directed Research and Development, LDRD, (20240362ER) Laboratory Directed Research and Development, LDRD 

主　　题：Multisurface plasticity Damage Rock Mathematical programming Brittle-ductile transition Finite element modeling 

摘      要：A unified objective optimization framework is developed for damage-coupled multisurface plasticity in the context of normal-dissipative media. The framework is shown to be advantageous in rock and soil mechanics applications to overcome difficulty associated with non-smoothness of the elastic domain due to the use of multiple intersecting yield-surfaces. The basic approach is one of mathematical programming, where the evolution of internal variables over a finite time step incrementally minimizes a suitable convex functional of the internal-energy and dissipative terms. A variant of the Broyden-Fletcher-Goldfarb-Shanno algorithm (BFGS) is employed to obviate the need for matrix inversion while constricting order of operations to O(n2). To demonstrate the effectiveness of the novel multi-surface model in modeling strength and damage behavior over a range of confining pressures, we provide validation against existing triaxial compression data for Tavel limestone. Model robustness and utility in damage-based element deletion is further demonstrated infinite element simulation of a projectile penetrating into limestone.