Structural optimization by simultaneous equilibration of spatial and material forces

Communications in Numerical Methods in Engineering

Volumn 21, Issue 8, 2005, Pages 433-442

  Askes, Harm ^a   Bargmann, Swantje ^b   Kuhl, Ellen ^b   Steinmann, Paul ^b  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

Arbitrary Lagrangian Eulerian; Dual equilibrium; Material forces; Optimization; Truss

Indexed keywords

FUNCTIONS; ITERATIVE METHODS; JOINTS (STRUCTURAL COMPONENTS); LINEARIZATION; LOADS (FORCES); NUMERICAL ANALYSIS; POTENTIAL ENERGY; PROBLEM SOLVING; STRUCTURAL OPTIMIZATION; TRUSSES;

DUAL EQUILIBRIUM; MATERIAL FORCES; NEWTON-RAPHSON SCHEME; SIMULTANEOUS EQUILIBRATION; SPATIAL FORCES;

STRUCTURAL ANALYSIS;

OPTIMIZATION; STRUCTURAL PERFORMANCE;

EID: 23944510974     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.758     Document Type: Article

References (13)

1. Haftka RT, Gürdal Z. Elements of Structural Optimization (3rd edn). Kluwer: Dordrecht, 1992.
2. Braun M. Configurational forces induced by finite-element discretization. Proceedings of Estonian Academic Sciences of Phys. Math. 1997; 46:24-31.
3. Braun M. Structural optimization by material forces. In Mechanics of Material Forces - EuroMech Colloquium 445, Steinmann P, Maugin GA (eds), Kaiserslautern, 2003; 211-218.
4. Eshelby JD. The force on an elastic singularity. Philosophical Transactions of the Royal Society of London 1951; 244:87-112.
5. Eshelby JD. The elastic energy-momentum tensor. Journal of Elasticity 1975; 5:321-335.
6. Maugin GA. Material Inhomogeneities in Elasticity. Chapman & Hall: London, 1993.
7. Kienzler R, Herrmann G. Mechanics in Material Space with Applications to Defect and Fracture Mechanics. Springer: Berlin, Heidelberg, New York, 2000.
8. Steinmann P. On spatial and material settings of hyperelastodynamics. Acta Mechanica 2002; 156:193-218.
9. Steinmann P. On spatial and material settings of thermo-hyperelastodynamics. Journal of Elasticity 2002; 66: 109-157.
10. Mueller R, Maugin GA. On material forces and finite element discretizations. Computational Mechanics 2002; 29:52-60.
11. Thoutireddy P, Ortiz M. A variational r-adaption and shape optimization method for finite-deformation elasticity. International Journal for Numerical Methods in Engineering 2004; 61:1-21.
12. Kuhl E, Askes H, Steinmann P. An ALE formulation based on spatial and material settings of continuum mechanics. Part 1: Generic hyperelastic formulation. Computer Methods in Applied Mechanics and Engineering 2004; 193:4207-4222.
13. Askes H, Kuhl E, Steinmann P. An ALE formulation based on spatial and material settings of continuum mechanics. Part 2: Classification and applications. Computer Methods in Applied Mechanics and Engineering 2004; 193:4223-4245.