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Implicit-Explicit Dynamics for Impact and Structural Response

30 Chapters
View Course Samples Online
01
Course overview
scope of implicit-explicit dynamics, impact and structural response applications, and the role of hybrid time integration.
implicit-explicitdynamics
02
Governing equations for transient structural dynamics
strong and weak forms, semi-discrete equations of motion, and initial-boundary value problem setup.
Governingequations
03
Explicit time integration fundamentals
central difference method, critical time step, Courant-Friedrichs-Lewy condition, and stability limits.
Explicitintegration
04
Implicit time integration fundamentals
Newmark-beta, HHT-alpha, generalized-alpha methods, numerical damping, and unconditional stability.
Implicitintegration
05
Comparative analysis of implicit and explicit schemes
accuracy, stability, computational cost, and suitability for impact versus long-duration response.
Comparativeanalysis
06
Contact-impact mechanics
kinematic contact constraints, penalty and Lagrange multiplier methods, and friction models for explicit dynamics.
Contact-impactmechanics
07
Material modeling for impact
strain-rate dependence, plasticity, damage, failure criteria, and equation-of-state models for high-velocity events.
Materialmodeling
08
Element technology for impact simulations
hourglass control, reduced integration, solid-shell elements, and mesh distortion mitigation.
technologysimulations
09
Implicit-explicit partitioning strategies
domain decomposition, subcycling, and interface coupling for mixed stiff-flexible systems.
Implicit-explicitpartitioning
10
Time step control and subcycling algorithms
automatic time step estimation, energy balance checks, and stability enforcement in explicit codes.
subcyclingalgorithms
11
Implicit-explicit switching criteria
when to switch, transition handling, and energy conservation across scheme changes.
Implicit-explicitswitching
12
Practical workshop
setting up an explicit impact simulation of a drop test using a commercial solver, including material, contact, and output requests.
workshopexplicit
13
Practical workshop
implicit analysis of a stiff structural frame under dynamic loading, with convergence and time step selection.
workshopimplicit
14
Hybrid simulation of a vehicle crash
explicit treatment of the crumple zone and implicit treatment of the occupant compartment.
simulationexplicit
15
Blast loading on structures
explicit dynamics for near-field detonation, implicit-explicit coupling for far-field response.
structuresexplicit
16
Impact on composite laminates
explicit simulation of delamination, fiber failure, and energy absorption.
compositelaminates
17
Implicit-explicit coupling for soil-structure interaction under seismic excitation
explicit near-field soil, implicit far-field boundary.
Implicit-explicitcoupling
18
High-velocity projectile penetration
explicit Lagrangian and Eulerian formulations, erosion, and adaptive remeshing.
High-velocityprojectile
19
Structural response to impact
modal superposition versus direct integration, and when implicit methods are preferable.
Structuralresponse
20
Energy conservation and dissipation in implicit-explicit dynamics
monitoring, artificial damping, and solution verification.
conservationdissipation
21
Parallel computing strategies for implicit-explicit dynamics
domain decomposition, MPI, GPU acceleration, and load balancing.
Parallelcomputing
22
Verification and validation for impact simulations
benchmark problems, experimental correlation, and uncertainty quantification.
Verificationvalidation
23
Case study
bird strike on aircraft leading edge using explicit dynamics with implicit-explicit coupling for the wing box.
aircraftexplicit
24
Case study
ship collision with offshore platform: explicit simulation of contact and implicit analysis of global structural integrity.
collisionoffshore
25
Case study
seismic response of a base-isolated building using implicit-explicit partitioned integration.
responsebase-isolated
26
Advanced topics
isogeometric analysis for impact, peridynamics, and phase-field damage models in explicit frameworks.
Advancedisogeometric
27
Machine learning surrogates for implicit-explicit dynamics
accelerating impact simulations and parameter identification.
surrogatesimplicit-explicit
28
Real-time hybrid simulation
combining physical tests with implicit-explicit numerical substructures for earthquake engineering.
Real-timesimulation
29
Optimization and design under impact
implicit-explicit sensitivity analysis, topology optimization for crashworthiness.
Optimizationimplicit-explicit
30
Capstone project
integrated implicit-explicit simulation of a practical impact problem, from model setup to validation and reporting.
Capstoneintegrated