Drucker stability postulate in plasticity
E554926
material stability criterion
principle in continuum mechanics
principle in plasticity theory
stability postulate
The Drucker stability postulate in plasticity is a fundamental criterion in continuum mechanics that asserts stable inelastic material behavior requires non-negative plastic work during any admissible loading path, ensuring physically realistic and stable responses in plasticity models.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
material stability criterion
ⓘ
principle in continuum mechanics ⓘ principle in plasticity theory ⓘ stability postulate ⓘ |
| aimsToPrevent | unphysical energy generation in plastic processes ⓘ |
| appliesTo |
continuum mechanics
ⓘ
inelastic material behavior ⓘ plasticity models ⓘ rate-independent plasticity ⓘ |
| assumes |
admissible loading paths
ⓘ
quasi-static loading conditions ⓘ |
| category |
continuum thermodynamics
ⓘ
plasticity theory ⓘ |
| constrains |
evolution of internal variables in plasticity models
ⓘ
shape of the yield surface ⓘ |
| contradictedBy |
materials exhibiting strain softening
ⓘ
unstable localization phenomena such as shear bands ⓘ |
| ensures |
absence of material instability under admissible loading
ⓘ
dissipative material behavior ⓘ physically realistic material behavior ⓘ stable inelastic material response ⓘ |
| expressedAs |
incremental plastic work is greater than or equal to zero
ⓘ
stress increment times plastic strain increment is non-negative ⓘ |
| historicallyProposedBy | Daniel C. Drucker NERFINISHED ⓘ |
| holdsFor | incremental stress–strain processes ⓘ |
| implies |
no negative plastic dissipation
ⓘ
non-negative dissipation ⓘ |
| influences |
design of numerical algorithms for plasticity
ⓘ
finite element formulations for inelastic analysis ⓘ |
| namedAfter | Daniel C. Drucker NERFINISHED ⓘ |
| relatedTo |
convexity of the yield surface
ⓘ
incremental work inequality ⓘ maximum plastic dissipation principle ⓘ normality rule in plasticity ⓘ second law of thermodynamics ⓘ thermodynamic consistency of constitutive laws ⓘ |
| requires |
non-negative incremental plastic work
ⓘ
non-negative plastic work ⓘ |
| states | plastic work must be non-negative for any admissible loading path ⓘ |
| timePeriod | mid 20th century ⓘ |
| usedFor |
assessment of material stability under cyclic loading
ⓘ
formulation of stable plasticity models ⓘ selection of admissible yield criteria ⓘ validation of constitutive models in plasticity ⓘ |
| usedIn |
geomechanics
ⓘ
metal plasticity modeling ⓘ soil and rock plasticity theories ⓘ structural engineering ⓘ |
Referenced by (1)
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