Drucker stability postulate

E554925

The Drucker stability postulate is a fundamental criterion in plasticity theory that asserts materials must not exhibit negative incremental work, ensuring stable and physically realistic material behavior under loading.

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Drucker stability postulate canonical 1

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Predicate Object
instanceOf material stability criterion ⓘ
stability postulate in plasticity theory ⓘ
appliesIn rate-independent plasticity ⓘ
small-strain plasticity formulations ⓘ
appliesTo incremental loading processes ⓘ
inelastic materials ⓘ
plastic materials ⓘ
assumes incremental work is defined as stress increment times plastic strain increment ⓘ
category constitutive modeling assumption ⓘ
material stability postulate NERFINISHED ⓘ
contrastsWith materials exhibiting strain softening ⓘ
non-associated plastic flow that may violate stability ⓘ
coreIdea incremental plastic work must be nonnegative ⓘ
materials must not exhibit negative incremental work ⓘ
ensures incremental work conjugacy between stress and strain ⓘ
physically realistic material behavior ⓘ
stable material response under loading ⓘ
field continuum mechanics ⓘ
plasticity theory ⓘ
solid mechanics ⓘ
goal ensure uniqueness and stability of boundary value problem solutions ⓘ
prevent non-physical predictions in plasticity models ⓘ
historicalContext introduced in mid-20th century plasticity literature ⓘ
implies monotonicity of the stress–strain relation in plastic range ⓘ
no material instability under small perturbations ⓘ
no spontaneous energy generation by the material ⓘ
influences criteria for numerical convergence in nonlinear analysis ⓘ
design of elastoplastic constitutive laws ⓘ
mathematicalFormulation Δσ_ij Δε_ij^p ≥ 0 for all admissible increments ⓘ
namedAfter Daniel C. Drucker NERFINISHED ⓘ
relatedTo convexity of the yield surface ⓘ
maximum plastic dissipation principle ⓘ
normality flow rule ⓘ
second law of thermodynamics ⓘ
requires no negative plastic dissipation under admissible loading paths ⓘ
positive or zero plastic dissipation ⓘ
usedBy engineers analyzing metal plasticity ⓘ
researchers developing plasticity theories ⓘ
usedFor assessing stability of constitutive models ⓘ
deriving conditions on yield functions and flow rules ⓘ
validating plasticity models in finite element analysis ⓘ

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Daniel C. Drucker → notableFor → Drucker stability postulate ⓘ