Error‐controlled implicit time integration of elasto‐visco‐plastic constitutive models for rock salt,International Journal for Numerical and Analytical Methods in Geomechanics

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Error‐controlled implicit time integration of elasto‐visco‐plastic constitutive models for rock salt
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 3.4 ) Pub Date : 2020-02-11 , DOI: 10.1002/nag.3049
Ning Zhang _{1,

2} , Thomas Nagel _{2,

3}

Affiliation

Funding information the “Zwanzig20 HYPOS” project H2-UGS, Grant/Award Number: 03ZZ0721H; The Fundamental Research Funds for the Central Universities, Grant/Award Number: 30917011337; the German Federal Ministry of Education and Research (BMBF) for the “GeomInt” project, Grant/Award Number: 03G0866A; The program of China Scholarships Council, Grant/Award Number: 201806845032 Summary The mechanical behavior of rock salt is rate-dependent at different time scales. Using caverns in rock salt formations for renewable energy storage implies that the underground structures are subjected to both short-term and long-term loads, increasing robustness and flexibility requirements for numerical simulators used to assess the safety of such structures. So far, explicit time integration with model-specific heuristics for time-step size determination dominate in application studies. In this paper, the suitability of error-controlled adaptive time-integration schemes of the diagonally implicit Runge-Kutta type is investigated in comparison with the Backward Euler and Crank-Nicolson schemes when applied to the integration of typical elasto-visco-plastic constitutive models of rock salt. The comparison is made both for monotonic and for cyclic loads as well as taking account of thermo-mechanical coupling. Analyses of the time-integration errors and the time step-size evolution show the suitability of the integration scheme for these material models. The automatic adjustment of the time-step size was found to be robust across all material models and boundary conditions as well as for non-isothermal situations for a single algorithmic parameter set.

更新日期：2020-02-11

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