Introduction Modeling and Simulation Summary Modeling and Simulation of Earthquakes, Soils, Structures and their Interaction Boris Jeremi´ c Hexiang Wang, Han Yang, Maxime Lacour, Yuan Feng University of California, Davis, CA Lawrence Berkeley National Laboratory, Berkeley, CA Best PSHANI Château de Cadarache, France Mai 2018 Jeremi´ c et al. MS-ESSI
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Introduction Modeling and Simulation Summary
Modeling and Simulation ofEarthquakes, Soils, Structures and
their Interaction
Boris JeremicHexiang Wang, Han Yang, Maxime Lacour, Yuan Feng
University of California, Davis, CALawrence Berkeley National Laboratory, Berkeley, CA
Best PSHANIChâteau de Cadarache, France
Mai 2018
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Motivation
I Improve safety and economy of infrastructure objects
I Improve numerical modeling and simulation forinfrastructure objects, nuclear installations
I Quality assurance, verification & validation
I Practical numerical modeling and simulation system
I Select level of sophistication numerical models to analyzeearthquake soil structure interaction of nuclear installations
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Uncertainties
I Modeling uncertainty, introduced by simplifyingassumptions, need for capability to perform lower andhigher level of sophistication modeling and simulation
I Parametric uncertainty, propagation of uncertainty inmaterial K ep and loads F (t), through:Mui + Cui + K epui = F (t), resulting in PDFs and CDFs forσij , εij , ui , ui , ui
I Le doute n’est pas un état bien agréable, mais l’assuranceest un état ridicule. (François-Marie Arouet, Voltaire)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Motivation
Flow of Seismic Energy
I Seismic energy input into the ESSI system
I Seismic energy dissipation outside of ESSI systemI Wave reflectionsI Structural oscillations, wave radiation
I Seismic energy dissipation within ESSI systemI Viscous effects (soil, fluid containers...)I Inelastic effects (soil, concrete, contacts, dissipators...)
I Numerical energy dissipation and production
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Outline
IntroductionMotivation
Modeling and SimulationSeismic MotionsInelasticity
Summary
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Stress Test Motions and Regional Scale Motions
I Stress test motionsI 3D - 6C, Haskel’s solution for plane harmonic wavesI 3D - 3×1CI 3D - 1CI 1D - 1C
I High fidelity (?) free field regional scale seismic motionsusing SW4, courtesy of Dr. Rodgers, Dr. Pitarka andDr. Petersson (LLNL)
I Knowledge of geology and the site is important
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Example Structure, a Small Modular Reactor (SMR)
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Stress Test Motions
I Variation in inclination, frequency, energy and durationI Try to "break" the system, shake-out strong and weak links
L oL w
L oL w
Jeremic et al.
MS-ESSI
Introduction Modeling and Simulation Summary
Seismic Motions
Free Field, Variation in Input Wave Angle, f = 5Hz