74-XX
|
Mechanics of deformable solids
|
74-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
74-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
74-02
|
Research exposition (monographs, survey articles)
|
74-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
74-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
74-05
|
Experimental work
|
74-06
|
Proceedings, conferences, collections, etc.
|
74Axx
|
Generalities, axiomatics, foundations of continuum mechanics of solids
|
74A05
|
Kinematics of deformation
|
74A10
|
Stress
|
74A15
|
Thermodynamics
|
74A20
|
Theory of constitutive functions
|
74A25
|
Molecular, statistical, and kinetic theories
|
74A30
|
Nonsimple materials
|
74A35
|
Polar materials
|
74A40
|
Random materials and composite materials
|
74A45
|
Theories of fracture and damage
|
74A50
|
Structured surfaces and interfaces, coexistent phases
|
74A55
|
Theories of friction (tribology)
|
74A60
|
Micromechanical theories
|
74A65
|
Reactive materials
|
74A99
|
None of the above, but in this section
|
74Bxx
|
Elastic materials
|
74B05
|
Classical linear elasticity
|
74B10
|
Linear elasticity with initial stresses
|
74B15
|
Equations linearized about a deformed state (small deformations superposed on large)
|
74B20
|
Nonlinear elasticity
|
74B99
|
None of the above, but in this section
|
74Cxx
|
Plastic materials, materials of stress-rate and internal-variable type
|
74C05
|
Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
|
74C10
|
Small-strain, rate-dependent theories (including theories of viscoplasticity)
|
74C15
|
Large-strain, rate-independent theories (including nonlinear plasticity)
|
74C20
|
Large-strain, rate-dependent theories
|
74C99
|
None of the above, but in this section
|
74Dxx
|
Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
|
74D05
|
Linear constitutive equations
|
74D10
|
Nonlinear constitutive equations
|
74D99
|
None of the above, but in this section
|
74Exx
|
Material properties given special treatment
|
74E05
|
Inhomogeneity
|
74E10
|
Anisotropy
|
74E15
|
Crystaline structure
|
74E20
|
Granularity
|
74E25
|
Texture
|
74E30
|
Composite and mixture properties
|
74E35
|
Random structure
|
74E40
|
Chemical structure
|
74E99
|
None of the above, but in this section
|
74Fxx
|
Coupling of solid mechanics with other effects
|
74F05
|
Thermal effects
|
74F10
|
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
|
74F15
|
Electromagnetic effects
|
74F20
|
Mixture effects
|
74F25
|
Chemical and reactive effects
|
74F99
|
None of the above, but in this section
|
74Gxx
|
Equilibrium (steady-state) problems
|
74G05
|
Explicit solutions
|
74G10
|
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)
|
74G15
|
Numerical approximation of solutions
|
74G20
|
Local existence of solutions (near a given solution)
|
74G25
|
Global existence of solutions
|
74G30
|
Uniqueness of solutions
|
74G35
|
Multiplicity of solutions
|
74G40
|
Regularity of solutions
|
74G45
|
Bounds for solutions
|
74G50
|
Saint-Venant's principle
|
74G55
|
Qualitative behavior of solutions
|
74G60
|
Bifurcation and buckling
|
74G65
|
Energy minimization
|
74G70
|
Stress concentrations, singularities
|
74G75
|
Inverse problems
|
74G99
|
None of the above, but in this section
|
74Hxx
|
Dynamical problems
|
74H05
|
Explicit solutions
|
74H10
|
Analytic approximation solutions (perturbation methods, asymptotic methods, series, etc.)
|
74H15
|
Numerical approximation of solutions
|
74H20
|
Existence of solutions
|
74H25
|
Uniqueness of solutions
|
74H30
|
Regularity of solutions
|
74H35
|
Singularities, blowup, stress concentrations
|
74H40
|
Long-time behavior of solutions
|
74H45
|
Vibrations
|
74H50
|
Random vibrations
|
74H55
|
Stability
|
74H60
|
Dynamical bifurcation
|
74H65
|
Chaotic behavior
|
74H99
|
None of the above, but in this section
|
74Jxx
|
Waves
|
74J05
|
Linear waves
|
74J10
|
Bulk waves
|
74J15
|
Surface waves
|
74J20
|
Wave scattering
|
74J25
|
Inverse problems
|
74J30
|
Nonlinear waves
|
74J35
|
Solitary waves
|
74J40
|
Shocks and related discontinuities
|
74J99
|
None of the above, but in this section
|
74Kxx
|
Thin bodies, structures
|
74K05
|
Strings
|
74K10
|
Rods (beams, columns, shafts, arches, rings, etc.)
|
74K15
|
Membranes
|
74K20
|
Plates
|
74K25
|
Shells
|
74K30
|
Junctions
|
74K35
|
Thin films
|
74K99
|
None of the above, but in this section
|
74Lxx
|
Special subfields of solid mechanics
|
74L05
|
Geophysical solid mechanics
[See also
86-XX]
|
74L10
|
Soil and rock mechanics
|
74L15
|
Biomechanical solid mechanics
[See also
92C10]
|
74L99
|
None of the above, but in this section
|
74Mxx
|
Special kinds of problems
|
74M05
|
Control, switches and devices (``smart materials'')
[See also
93Cxx]
|
74M10
|
Friction
|
74M15
|
Contact
|
74M20
|
Impact
|
74M25
|
Micromechanics
|
74M99
|
None of the above, but in this section
|
74Nxx
|
Phase transformations in solids
[See also
74A50,
80Axx,
82B26,
82C26]
|
74N05
|
Crystals
|
74N10
|
Displacive transformations
|
74N15
|
Analysis of microstructure
|
74N20
|
Dynamics of phase boundaries
|
74N25
|
Transformations involving diffusion
|
74N30
|
Problems involving hysteresis
|
74N99
|
None of the above, but in this section
|
74Pxx
|
Optimization
[See also
49Qxx]
|
74P05
|
Compliance or weight optimization
|
74P10
|
Optimization of other properties
|
74P15
|
Topological methods
|
74P20
|
Geometrical methods
|
74P99
|
None of the above, but in this section
|
74Qxx
|
Homogenization, determination of effective properties
|
74Q05
|
Homogenization in equilibrium problems
|
74Q10
|
Homogenization and oscillations in dynamical problems
|
74Q15
|
Effective constitutive equations
|
74Q20
|
Bounds on effective properties
|
74Q99
|
None of the above, but in this section
|
74Rxx
|
Fracture and damage
|
74R05
|
Brittle damage
|
74R10
|
Brittle fracture
|
74R15
|
High-velocity fracture
|
74R20
|
Anelastic fracture and damage
|
74R99
|
None of the above, but in this section
|
74Sxx
|
Numerical methods
[See also
65-XX,
74G15,
74H15]
|
74S05
|
Finite element methods
|
74S10
|
Finite volume methods
|
74S15
|
Boundary element methods
|
74S20
|
Finite difference methods
|
74S25
|
Spectral and related methods
|
74S30
|
Other numerical methods
|
74S99
|
None of the above, but in this section
|