An Eulerian-Lagrangian finite-element method for modeling crack growth in creeping materials

Thesis/Dissertation · Mon Dec 31 23:00:00 EST 1990

OSTI ID:5346235

Lee, Hae Sung

This study is concerned with the development of finite-element-solution methods for analysis of quasi-static, ductile crack growth in history-dependent materials. The mixed Eulerian-Langrangian description (ELD) kinematic model is shown to have several desirable properties for modeling inelastic crack growth. Accordingly, a variational statement based on the ELD for history-dependent materials is developed, and a new moving-grid finite-element method based on the variational statement is presented. The moving-grid finite-element method based on the variational statement is presented. The moving-grid finite-element method is applied to the analysis of transient, quasi-static, mode-III crack growth in creeping materials. A generalized Petrov-Galerkin method (GPG) is developed that simultaneously stabilizes the statement to admit L{sub 2} basis functions for the nonlinear strain field. Quasi-static, model-III crack growth in creeping materials under small-scale-yielding (SSY) conditions is considered. The GPG/ELD moving-grid finite-element formulation is used to model a transient crack-growth problem. The GPG/ELD results compare favorably with previously-published numerical results and the asymptotic solutions.

• Research Organization: Illinois Univ., Urbana, IL (United States)
• OSTI ID: 5346235
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360103* -- Metals & Alloys-- Mechanical Properties
360203 -- Ceramics
Cermets
& Refractories-- Mechanical Properties
CRACK PROPAGATION
CREEP
EQUIPMENT
FINITE ELEMENT METHOD
GAS TURBINES
HEAT RESISTANT MATERIALS
MACHINERY
MATERIALS
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
NUCLEAR FACILITIES
NUCLEAR POWER PLANTS
NUMERICAL SOLUTION
POWER PLANTS
THERMAL POWER PLANTS
TURBINES
TURBOMACHINERY