Linear Elastic Stress Field in Cracked Bodies -- Elastic-Plastic Stress Field in Cracked Bodies -- Crack Growth Based on Energy Balance -- Critical Stress Intensity Factor Fracture Criterion -- J-Integral and Crack Opening Displacement Fracture Criteria -- Strain Energy Density Failure Criterion: Mixed-Mode Crack Growth -- Dynamic Fracture -- Fatigue and Environment-Assisted Fracture -- Microme…
Problems and Questions -- Tension, Compression and Torsion -- Cross-Section Geometry Characteristics: Bending -- Complex Stress State, Strength Criteria, Anisotropy -- Stability -- Various Questions and Problems -- Answers and Solutions -- Tension, Compression and Torsion -- Cross-Section Geometry Characteristics. Bending -- Complex Stress State, Strength Criteria, Anisotropy -- Stability -- Va…
Physics of Unsteady Flows -- The Differential Equations of Fluid Flow -- Panel Methods -- Applications of Panel Method -- Boundary-Layer Methods -- Applications of Boundary-Layer Methods: Flows Without Separation -- Applications of Boundary-Layer Methods: Flows with Separation -- Navier-Stokes Methods -- Applications of Navier-Stokes Methods -- Companion Computer Programs.This book provides an …
Three-Dimensional Differential Geometry -- Differential Geometry of Surfaces -- Applications to Three-Dimensional Elasticity in Curvilinear Coordinates -- Applications to Shell Theory.curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, be…
Pulsed Systems: Design Principles -- Lumped Parameter Pulse Systems -- Pulse Generation Using Long Lines -- Physics of Pulsed Electrical Discharges -- The Vacuum Discharge -- The Pulsed Discharge in Gas -- Electrical Discharges in Liquids -- Properties of Coaxial Lines -- Solid-Insulated Coaxial Lines -- Liquid-Insulated Lines -- Vacuum Lines with Magnetic Self-Insulation -- Spark Gap Switches …
Setting the Stage -- Linear Algebra over the Complex Numbers -- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces) -- Lie Groups and Lie Group Representations -- New Representations from Old -- Irreducible Representations and Invariant Integration -- Representations and the Hydrogen Atom -- The Algebra so(4) Symmetry of the Hydrogen Atom -- The Group SO(4) Symmetry of the Hydrogen Atom -- Pr…
Balance Laws -- to Continuum Physics -- Hyperbolic Systems of Balance Laws -- The Cauchy Problem -- Entropy and the Stability of Classical Solutions -- The L1 Theory for Scalar Conservation Laws -- Hyperbolic Systems of Balance Laws in One-Space Dimension -- Admissible Shocks -- Admissible Wave Fans and the Riemann Problem -- Generalized Characteristics. -- Genuinely Nonlinear Scalar Conservati…
Units and Vectors -- Kinematics -- Newton’s Laws -- Work and Energy -- Impulse, Momentum and Collisions -- System of Particles -- Rotation of Rigid Bodies -- Rolling and Static Equilibrium -- Central Force Motion -- Oscillatory Motion.Open AccessThis open access textbook takes the reader step-by-step through the concepts of mechanics in a clear and detailed manner. Mechanics is considered to …
Kinematics of the continuous media -- Stress Tensor -- Balance principles -- Constitutive relations -- Variational methods.This book develops a modern presentation of Continuum Mechanics, oriented towards numerical applications in the fields of nonlinear analysis of solids, structures and fluid mechanics. The kinematics of the continuum deformation, including pull-back / push-forward transforma…
Part I Deterministic Methods and Procedures. Spectral Analysis of Finite Dimensional Operators. Finite Element Method. Non-Linear Static Analysis. Dynamic Analysis -- Part II Probabilistic Methods and Procedures. Rational Treatment of Uncertainties. Karhunen-Loève Expansion. Direct Monte Carlo Simulation. Equivalent Statistical Linearization. Random Vibrations of Large Finite Element Systems -…