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Title of Journal: Struct Multidisc Optim

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Abbravation: Structural and Multidisciplinary Optimization

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Springer-Verlag

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DOI

10.1007/978-1-84882-972-5_8

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1615-1488

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Fracture resistance via topology optimization

Authors: Vivien J Challis Anthony P Roberts Andrew H Wilkins
Publish Date: 2007/08/09
Volume: 36, Issue: 3, Pages: 263-271
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Abstract

The fracture resistance of structures is optimized using the levelset method Fracture resistance is assumed to be related to the elastic energy released by a crack propagating in a normal direction from parts of the boundary that are in tension and is calculated using the virtual crack extension technique The shape derivative of the fractureresistance objective function is derived Two illustrative twodimensional case studies are presented a hole in a plate subjected to biaxial strain and a bridge fixed at both ends subjected to a single load in which the compliance and fracture resistance are jointly optimized The structures obtained have rounded corners and more material at places where they are in tension Based on the results we propose that fracture resistance may be modeled more easily but less directly by including a term proportional to surface area in the objective function in conjunction with nonlinear elasticity where the Young’s modulus in tension is lower than in compression

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Other Papers In This Journal:
  1. Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics
  2. Multi-dimensional optimization of functionally graded material composition using polynomial expansion of the volume fraction
  3. On symmetry and non-uniqueness in exact topology optimization
  4. Integrated layout and topology optimization design of multi-frame and multi-component fuselage structure systems
  5. Single-level composite wing optimization based on flexural lamination parameters
  6. Topology optimization of composite structures with data-driven resin filling time manufacturing constraint
  7. A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods
  8. Minimum weight design of solid annular plates under an assigned limit ring load
  9. A sensitivity-based commonality strategy for family products of mild variation, with application to automotive body structures
  10. A new reliability analysis method based on the conjugate gradient direction
  11. Aircraft wing box optimization considering uncertainty in surrogate models
  12. Multidisciplinary dynamic optimization of horizontal axis wind turbine design
  13. Geometrical aspects of optimum truss like structures for three-force problem
  14. Advances in optimization of highrise building structures
  15. Topology optimization of fail-safe structures using a simplified local damage model
  16. Topology optimization of frame structures with flexible joints
  17. A concurrent subspace collaborative optimization architecture to structural synthetical optimization design
  18. Topology optimization of internal partitions in a flow-reversing chamber muffler for noise reduction
  19. Material interpolation schemes for unified topology and multi-material optimization
  20. Variational proof of optimality criteria for Michell structures with pre-existing members
  21. Drop test simulation and surrogate-based optimization of a dishwasher mechanical structure and its packaging module
  22. Resolving issues with member buckling in truss topology optimization using a mixed variable approach
  23. Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD
  24. A comparative study of uncertainty propagation methods for black-box-type problems
  25. Multiobjective optimization for crash safety design of vehicles using stepwise regression model
  26. A double-distribution statistical algorithm for composite laminate optimization
  27. Robust design optimization by polynomial dimensional decomposition
  28. A crossing sensitivity filter for structural topology optimization with chamfering, rounding, and checkerboard-free patterns
  29. Hybrid evolutionary algorithm and application to structural optimization
  30. Topology optimization of shell structures using adaptive inner-front (AIF) level set method
  31. Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases
  32. Optimization of a contact surface
  33. A multi-objective, multidisciplinary design optimization methodology for the conceptual design of a spacecraft bi-propellant propulsion system
  34. Optimum design of a controlled cable stayed bridge subject to earthquakes
  35. Design optimization of a runflat structure based on multi-objective genetic algorithm
  36. On minimum compliance problems of thin elastic plates of varying thickness
  37. On the analytical derivation of the Pareto-optimal set with applications to structural design
  38. Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry
  39. Topology optimization of free vibrating continuum structures based on the element free Galerkin method
  40. Analysis and optimal design of plates and shells under dynamic loads – II: optimization
  41. Approximation of the critical buckling factor for composite panels
  42. Adhesive surface design using topology optimization
  43. Optimal design of hydraulic support
  44. A modified ant colony algorithm for the stacking sequence optimisation of a rectangular laminate
  45. Topology optimization of inertia driven dosing units
  46. Shape sensitivity analysis using a fixed basis function finite element approach
  47. Multiobjective evolutionary optimization of periodic layered materials for desired wave dispersion characteristics
  48. Globally optimal benchmark solutions to some small-scale discretized continuum topology optimization problems
  49. Multi-constrained topology optimization via the topological sensitivity
  50. A multi-objective differential evolution approach based on ε-elimination uniform-diversity for mechanism design
  51. Metamodeling by symbolic regression and Pareto simulated annealing
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