On variational sensitivity analysis and configurational mechanics
From MaRDI portal
Publication:1021117
DOI10.1007/s00466-007-0223-5zbMath1162.74423OpenAlexW2012350658MaRDI QIDQ1021117
Daniel Materna, Franz-Joseph Barthold
Publication date: 8 June 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-007-0223-5
Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Compliance or weight optimization in solid mechanics (74P05)
Related Items (8)
Nonlinear reanalysis for structural modifications based on residual increment approximations ⋮ An integrated approach to shape optimization and mesh adaptivity based on material residual forces ⋮ ``Bubble-and-grain method and criteria for optimal positioning inhomogeneities in topological optimization ⋮ Regularization of shape optimization problems using FE-based parametrization ⋮ The inner structure of sensitivities in nodal based shape optimisation ⋮ Remarks on variational shape sensitivity analysis based on local coordinates ⋮ Goal-oriented \(r\)-adaptivity based on variational arguments in the physical and material spaces ⋮ Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On material forces and finite element discretizations
- A new mathematical theory of simple materials
- Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
- Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
- The elastic energy-momentum tensor
- Computational methods for inverse finite elastostatics
- Application of material forces to hyperelastostatic fracture mechanics. I: Continuum mechanical setting
- Use of material forces in adaptive finite element methods
- Configuration forces as basic concepts of continuum physics
- An ALE formulation based on spatial and material settings of continuum mechanics. I: Generic hyperelastic formulation
- An ALE formulation based on spatial and material settings of continuum mechanics. II: Classification and applications
- Nichtlineare Finite-Element-Methoden
- A Structural Optimization Viewpoint on Configurational Mechanics
- On the numerical implementation of variational arbitrary Lagrangian–Eulerian (VALE) formulations
- Multiparameter structural shape optimization by the finite element method
- Numerical Optimization
- On configurational forces in the context of the finite element method
- Mechanics in Material Space
- A Preconditioner for Generalized Saddle Point Problems
- The gradient of the finite element variational indicator with respect to nodal and applications in fracture mechanics and mesh optimization
- A variational r‐adaption and shape‐optimization method for finite‐deformation elasticity
- Structural optimization by simultaneous equilibration of spatial and material forces
- The force on an elastic singularity
This page was built for publication: On variational sensitivity analysis and configurational mechanics
