Topology optimization of structures undergoing brittle fracture
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Publication:2138995
DOI10.1016/j.jcp.2022.111048OpenAlexW3180902751WikidataQ114163353 ScholiaQ114163353MaRDI QIDQ2138995
Jeet Desai, François Jouve, Grégoire Allaire
Publication date: 17 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111048
Fracture and damage (74Rxx) Optimization problems in solid mechanics (74Pxx) Manifolds and measure-geometric topics (49Qxx)
Related Items (6)
Robust design optimization for enhancing delamination resistance of composites ⋮ Phase-field viscoelastic fracture modeling of polymer composites using strain tensor spectral decomposition ⋮ Shape optimization using a level set based mesh evolution method: an overview and tutorial ⋮ Space-time mixed system formulation of phase-field fracture optimal control problems ⋮ Parameter identification of a phase-field fracture model using integrated digital image correlation ⋮ Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems
Uses Software
Cites Work
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- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- Revisiting energy release rates in brittle fracture
- Computation of the signed distance function to a discrete contour on adapted triangulation
- Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing
- Crack initiation in brittle materials
- The variational approach to fracture
- Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
- When and how do cracks propagate?
- Bifurcation and post-bifurcation analysis in plasticity and brittle fracture
- Approximation of free-discontinuity problems
- A framework for the construction of level set methods for shape optimization and reconstruction
- Structural optimization using sensitivity analysis and a level-set method.
- A level-set method for shape optimization.
- Structural optimization under overhang constraints imposed by additive manufacturing technologies
- Shape variation and optimization. A geometrical analysis
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- A level set method for structural topology optimization.
- An approximation result for special functions with bounded deformation
- Revisiting brittle fracture as an energy minimization problem
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- Shape and topology optimization
- A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids -- application to shape optimization
- Numerical implementation of the variational formulation for quasi-static brittle fracture
- Topology optimization of structures under variable loading using a damage superposition approach
- Optimal approximations by piecewise smooth functions and associated variational problems
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
- New development in freefem++
- VI. The phenomena of rupture and flow in solids
- Optimal Control in Some Variational Inequalities
- An accurate anisotropic adaptation method for solving the level set advection equation
- Fracture energy based bi-dissipative damage model for concrete
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