Papers

@article{villalba_multipatch_2025,

title = {Multipatch IGA for stress-constrained minimum weight structural topology optimization},

author = {Diego Villalba and José París-López and Iván Couceiro-Aguiar and Fermín Navarrina-Martínez},

url = {https://doi.org/10.1080/0305215X.2024.2436994},

doi = {10.1080/0305215X.2024.2436994},

issn = {0305-215X},

year  = {2025},

date = {2025-11-01},

urldate = {2025-11-01},

journal = {Engineering Optimization},

volume = {57},

number = {11},

pages = {3401–3424},

publisher = {Taylor & Francis},

abstract = {In this article, an isogeometric analysis (IGA) formulation with various patches (multipatch approach) is proposed to solve the structural topology optimization (STO) problem. The multipatch formulation enables the solution of STO problems with geometries not equivalent to rectangles by using IGA. For this purpose, a minimum weight with stress constraints (MWSC) problem is stated. A quadratic B-splines basis defined for each patch is used to model the material distribution. The structural analysis is computed with IGA. The introduction of all of the stress constraints in the formulation of the problem is made with an overweight constraint (OC). Finally, the multipatch approach is validated with the solution of some benchmark problems.},

note = {_eprint: https://doi.org/10.1080/0305215X.2024.2436994},

keywords = {isogeometric analysi, multipatch approach, overweight approach, stress constraints, Structural topology optimization},

pubstate = {published},

tppubtype = {article}

}

@article{villalba_isogeometric_2024,

title = {Isogeometric topology optimization of structures using the overweight approach},

author = {Diego Villalba and José París-López and Iván Couceiro-Aguiar and Fermín Navarrina-Martínez},

url = {https://doi.org/10.1007/s00158-024-03782-2},

doi = {10.1007/s00158-024-03782-2},

issn = {1615-1488},

year  = {2024},

date = {2024-05-01},

urldate = {2024-05-01},

journal = {Structural and Multidisciplinary Optimization},

volume = {67},

number = {5},

pages = {84},

abstract = {In this paper, a 2D isogeometric formulation of the material distribution for structural topology optimization considering minimum weight and local stress constraints using the overweight approach is proposed. The aim of this isogeometric formulation is to provide solutions with high spatial definition using a lower number of design variables in comparison with the formulations previously developed to define the material layout. Despite of this, an important number of local stress constraints has to be considered in the solution of the problem. For this purpose, an Overweight Constraint is used to consider all of them. The structural analysis is performed by means of the Isogeometric Analysis (IGA) and the distribution of material is modeled by means of quadratic B-splines. Moreover, the optimization is addressed by means of the Sequential Linear Programming algorithm (SLP) that is driven by the information provided by a full first-order sensitivity analysis extension of the IGA formulation. Finally, the proposed formulation is tested by means of some benchmark problems, and the results show that the isogeometric formulation provides solutions with high spatial definition. A comparison with a Finite Element Method (FEM) topology optimization formulation is included.},

keywords = {Aggregation techniques, Isogeometric analysis, overweight approach, stress constraints, Structural topology optimization},

pubstate = {published},

tppubtype = {article}

}

@article{villalba_topology_2022,

title = {Topology optimization of structures considering minimum weight and stress constraints by using the Overweight Approach},

author = {Diego Villalba and José París-López and Iván Couceiro-Aguiar and Ignasi Colominas-Ezponda and Fermín Navarrina-Martínez},

url = {https://www.sciencedirect.com/science/article/pii/S0141029622011476},

doi = {10.1016/j.engstruct.2022.115071},

issn = {0141-0296},

year  = {2022},

date = {2022-12-01},

urldate = {2026-08-07},

journal = {Engineering Structures},

volume = {273},

pages = {115071},

abstract = {In this paper, a new method for structural topology optimization considering minimum weight and local stress constraints is proposed. For this purpose, the Overweight Approach, an improvement of the so-called Damage Approach, is used. In this method, a virtual relative density is defined as a function of the violation of the local stress constraints. The virtual relative density is increased as stresses exceed the maximum allowable value. The optimization algorithm will provide a design with a minimal variation of the relative density. The structural analysis is performed by means of the Finite Element Method (FEM) and the distribution of material is modelled in terms of a uniform relative density within each element. Moreover, the optimization is addressed by means of the Sequential Linear Programming algorithm (SLP). Finally, the proposed methodology is tested by means of some benchmark problems, and the results show that the Overweight Approach is a feasible alternative for the Damage Approach and the stress constraint aggregation techniques.},

keywords = {Aggregation techniques, Finite element method, overweight approach, Stress constraint, Structural topology optimization},

pubstate = {published},

tppubtype = {article}

}