Stability problems in continuum mechanics and their numerical computation
From MaRDI portal
Publication:3832138
DOI10.1007/BF00538363zbMath0676.73021OpenAlexW105625451MaRDI QIDQ3832138
Erwin Stein, Werner Wagner, Rolf Lammering
Publication date: 1989
Published in: Ingenieur-Archiv (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00538363
Fredholm operatorsreturn mapping algorithmpath-following methodsbranch-switching proceduresGurson's model for the description of void growthmaterial damagingstatic stability problemsstrategies for detecting stability points
Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On plastic localization and failure in plane strain and round void containing tensile bars
- A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
- Consistent linearization for path following methods in nonlinear FE analysis
- A finite element method for localized failure analysis
- A quadratically convergent procedure for the calculation of stability points in finite element analysis
- Acceleration waves in solids
- Flow localization in the plane strain tensile test
- Ductile fracture by cavity nucleation between larger voids
- Incremental formulation in nonlinear mechanics and large strain elasto- plasticity - natural approach. I
- An incremental approach to the solution of snapping and buckling problems
- An analysis of a new class of integration algorithms for elastoplastic constitutive relations
- Derivation of geometrically nonlinear finite shell elements via tensor notation
- [https://portal.mardi4nfdi.de/wiki/Publication:3763658 Tangentiale Steifigkeitsmatrizen bei Anwendung von Projektionsverfahren in der Elastoplastizit�tstheorie]
- Incremental displacement algorithms for nonlinear problems
- Linear and nonlinear stability analysis of cylindrical shells
- Numerical analysis of continuation methods for nonlinear structural problems
- A fast incremental/iterative solution procedure that handles “snap-through”
- [https://portal.mardi4nfdi.de/wiki/Publication:3940969 Nichtlineare Stabilit�tsuntersuchungen mit der Methode der Finiten Elemente]
- The Application of Newton’s Method to the Problem of Elastic Stability