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Nonlinear Finite Element Analysis for Complex Structures

30 Chapters
View Course Samples Online
01
Nonlinear FEA for complex structures
sources of nonlinearity, structural complexity drivers, and engineering motivation.
NonlinearFEA
02
Continuum mechanics foundations
deformation gradients, strain measures, stress tensors, and objectivity for nonlinear structural analysis.
Continuummechanics
03
Weak forms and variational principles
virtual work, energy functionals, and consistent linearization for nonlinear finite elements.
variationalprinciples
04
Nonlinear solution strategies
Newton-Raphson, modified Newton, arc-length, and line search methods for complex load paths.
Nonlinearsolution
05
Convergence and verification
residual norms, energy criteria, limit points, and practical troubleshooting of divergent nonlinear solutions.
Convergenceverification
06
Geometric nonlinearity
large displacement, large rotation, and buckling behavior in slender and space-frame structures.
Geometricnonlinearity
07
Material nonlinearity
elastoplasticity, hyperelasticity, viscoelasticity, and damage models for metallic and polymeric components.
Materialnonlinearity
08
Contact nonlinearity
penalty, Lagrange multiplier, and augmented Lagrangian formulations for assembly and impact interfaces.
nonlinearityLagrange
09
Element technology for nonlinear analysis
shell, solid, beam, and continuum elements under finite strain and rotation.
technologynonlinear
10
Modeling of complex assemblies
bolted joints, welds, bearings, and interference fits under nonlinear service loads.
Modelingassemblies
11
Nonlinear buckling and post-buckling
eigenvalue-based imperfection sensitivity and explicit tracking of unstable equilibrium paths.
Nonlinearbuckling
12
Plastic collapse and limit analysis
plastic hinge formation, shakedown, and ultimate strength of frame and plate structures.
collapseanalysis
13
Ductile fracture and damage propagation
cohesive zone models, Gurson-Tvergaard-Needleman, and element deletion strategies.
fracturepropagation
14
Nonlinear dynamic analysis
implicit and explicit time integration for impact, crash, and blast loading on complex structures.
Nonlinearanalysis
15
Contact-impact simulation
friction, wear, erosion, and adaptive remeshing for high-velocity structural events.
Contact-impactsimulation
16
Thermo-mechanical nonlinear analysis
temperature-dependent plasticity, creep, and thermal buckling in aerospace and energy structures.
Thermo-mechanicalnonlinear
17
Fatigue and cyclic plasticity
kinematic hardening, ratcheting, and low-cycle fatigue life prediction using nonlinear FEA.
plasticitykinematic
18
Composite structures
progressive damage, delamination, and fiber kinking under nonlinear deformation and failure.
Compositestructures
19
Nonlinear modal analysis
prestressed, large-amplitude, and contact-dependent vibration of complex structural systems.
Nonlinearanalysis
20
Multiscale nonlinear FEA
representative volume elements, homogenization, and concurrent coupling for heterogeneous materials.
Multiscalenonlinear
21
Model reduction for nonlinear structures
Craig-Bampton, proper orthogonal decomposition, and hyper-reduction for repeated analyses.
reductionnonlinear
22
Nonlinear substructuring and domain decomposition
component mode synthesis and parallel solvers for large assemblies.
Nonlinearsubstructuring
23
Verification and validation
benchmark problems, mesh convergence, experimental correlation, and uncertainty quantification.
Verificationvalidation
24
Case study
nonlinear analysis of a pressure vessel nozzle under cyclic thermal and mechanical loads.
nonlinearanalysis
25
Case study
crashworthiness simulation of an automotive body-in-white with spot-weld and material failure models.
crashworthinesssimulation
26
Case study
post-buckling and damage tolerance of a stiffened composite fuselage panel.
post-bucklingtolerance
27
Case study
seismic response of a steel moment frame with bolted connections and plastic hinge behavior.
responseconnections
28
Case study
nonlinear rotor dynamics and blade-tip clearance in a gas turbine assembly.
nonlineardynamics
29
Case study
additive-manufactured lattice structures under compression: geometric, material, and contact nonlinearities.
additive-manufacturedstructures
30
Advanced workflows and best practices
solver selection, automation, result interpretation, and documentation for complex nonlinear FEA projects.
Advancedworkflows