| 74-XX | | Prev: 70 | Up: Top | Next: 76 | |
| 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
[xref: 80A17]
| 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
[xref: 74Nxx]
| 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
[xref: 76T25]
| |
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 |
Crystalline structure
| 74E20 |
Granularity
[xref: 76T25]
| 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.)
[xref: 76Zxx]
| 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
[xref: 74Sxx]
| 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
[xref: 37N15]
| 74H05 |
Explicit solutions
| 74H10 |
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)
| 74H15 |
Numerical approximation of solutions
[xref: 74Sxx]
| 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
[xref: 70L05]
| 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]
[xref: 76Zxx, 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]
[xref: 80A22]
| 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
[xref: 35B27]
| 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
| |