Science AI Journal
Engineering · Research topic

Open research questions in Topology Optimization in Engineering

92 gap statements mined from Topology Optimization in Engineering papers in our 4.5M-paper local library, which holds 1,116 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.

Choosing where to publish on Topology Optimization in Engineering? See the ranked Engineering journals.

What the literature leaves open

  • Early optimized structures must be validated single-objective studies prioritized static through established fatigue life evaluation stiffness in aluminum wheels (Zhang et al. techniques and dynamic stress analysis), while later multi-objective frameworks.

    Topology optimization of wheel spoke cavities for lightweight design under bending fatigue and impact load cases · 2026 · DOI

  • Traditional TO methods have limitations in customizability and impose a high cognitive load on users. Existing approaches using generative AI have limitations in usability and customizability.

    Sketch2Topo: Diffusion-Model-Based Topology Optimization Using Hand-Drawn Inputs as Condition Constraints · 2026 · DOI

  • The proposed approach is limited to 2D examples. The method is validated through benchmarks maximizing bulk or shear modulus, but other objective functions may not be addressed.

    Level-set-based negative-mapping interpolation for non-overlapping multi-material microstructure topology optimization · 2026 · DOI

  • The need for a framework that incorporates connectivity constraints directly into the topology optimization formulation. The lack of a level set and topological derivative-based framework for connectivity constraints.

    On a level set and topological derivative-based strategy for connectivity constraints in topology optimization · 2026 · DOI

  • Future research can focus on experimental validation of the optimized impeller design. Further studies can explore the application of the topology optimization method to other structural design problems. Research can also investigate the use of other additive manufacturing technologies and materials for impeller production.

    Topology Optimization Design of Impellers Based on Selective Laser Melting Process · 2026 · DOI

  • The gap is related to the need for a method that considers support-free forming and blade geometric shape retention based on selective laser melting additive manufacturing technology.

    Topology Optimization Design of Impellers Based on Selective Laser Melting Process · 2026 · DOI

  • This preserves solver modularity and motivates further study of whether LLM-guided spatial interventions can complement established adjoint-based methods.

    IterSIMP-σ: Evaluating LLM-Assisted Spatial Interventions in Stress-Aware Topology Optimization · 2026

  • The paper identifies several technical challenges, including the need to handle the construction phase and the deformation of unsupported overhangs. The method must also be able to optimize the material distribution in a fixed domain. The paper also identifies the challenge of extending the method to more complex problem settings.

    Multi-material structural optimization for additive manufacturing based on a phase field approach · 2026 · DOI

  • The method is applied to a limited number of problem settings. The paper does not consider the effects of other external forces besides gravity.

    Multi-material structural optimization for additive manufacturing based on a phase field approach · 2026 · DOI

  • The problem of modeling discretely represented equidistants remains insufficiently researched. There is a lack of an algorithm for modeling equidistant curves in cases where the base curve is given in discrete form.

    Methods of constructing discretely represented equidistants for optimizing the placement of fortification structures · 2026 · DOI

  • The lack of consideration of dynamic properties in conventional structural design approaches. The lack of consideration of frequency constraints in conventional topology optimization approaches.

    Resonance Mitigation through Frequency-Constrained Topology Optimization: An Alternative Structural Design Strategy · 2026 · DOI

  • The existing literature usually considers only deterministic optimisation of stacking sequences and does not assess the robustness of the obtained lay-ups to perturbations. There is a need for a novel computational framework that can optimise the fundamental frequency of multi-layered composite slabs with consideration of uncertainties.

    Single-Criterion Optimisation with Consideration of Uncertainties of the Composite Multi-Layer Slabs · 2026 · DOI

  • There is a lack of integration with additive manufacturing constraints. Few studies focus on dynamic loading and fatigue analysis. Further experimental validation and fatigue analysis are required to improve the reliability of optimized robotic arm designs.

    Weight Optimization of Robotic Arm using FEA: A Review Paper · 2026 · DOI

  • Prior work has focused on shape optimization, which has limitations in generating and merging internal holes. There is a need for a physically interpretable framework for phase-field topology optimization. The Navier-Stokes, convection-diffusion, and Poisson-Boltzmann equations need to be incorporated into the topology optimization of microfluidic mixers.

    Topology Optimization for Microfluidic Mixers by a Phase Field Method · 2026 · DOI

  • The lack of continuous tunability of thermal expansion in previous metamaterials. The limitations of traditional methods for realizing specified or extreme CTEs. The need for a topology optimization approach for designing multiphase mechanical metamaterials with graded interfaces.

    Topological Optimization Design of Multiphase Mechanical Metamaterials with Tunable Thermal Expansion Considering Graded Interface · 2026 · DOI

  • The study focuses on PLA/FDM and may not be generalizable to other additive manufacturing technologies. The benchmark is limited to nine design variables and six competing objectives.

    Manufacturing-Aware Benchmark for Additive Manufacturing Design Optimization · 2026 · DOI

  • Future studies can extend the proposed benchmark to other additive manufacturing technologies. Further research can focus on developing more effective optimization algorithms for additive manufacturing design optimization.

    Manufacturing-Aware Benchmark for Additive Manufacturing Design Optimization · 2026 · DOI

  • Limited customizability and usability of existing approaches. Balancing structural performance with aesthetic attributes.

    Sketch2Topo: Diffusion-Model-Based Topology Optimization Using Hand-Drawn Inputs as Condition Constraints · 2026 · DOI

  • Targeting stability-related metrics (e.g., buckling load factors, imperfection sensitivity, or selected eigenmodes) represents a mid-term research extension.

    Novel material anisotropy optimization based upon granular micromechanics · 2026 · DOI

  • Extension of the proposed approach to 3D examples. Application of the method to other objective functions and design problems. Investigation of the method's scalability and computational efficiency.

    Level-set-based negative-mapping interpolation for non-overlapping multi-material microstructure topology optimization · 2026 · DOI

  • Complex combined loading, bending, shear, and torsion - Simultaneous consideration of strength and manufacturability constraints - Limited application of topology optimization to fixed boom…

    A structural design and optimization of a fixed boom system using a computer-aided engineering-integrated topology optimization approach · 2026 · DOI

  • The study only considers a single representative load case - The optimization process is limited to a 60% mass-reduction…

    A structural design and optimization of a fixed boom system using a computer-aided engineering-integrated topology optimization approach · 2026 · DOI

  • Further study on the application of the approach to other structural design problems. Investigation of the effects of dynamic loads on the optimized sub-frame.

    Resonance Mitigation through Frequency-Constrained Topology Optimization: An Alternative Structural Design Strategy · 2026 · DOI

  • There is a need for effective algorithms to detect damage in 2D/3D truss structures - Current algorithms may not be effective in solving real-world…

    Evaluating the coati optimization algorithm in the analysis of 2d/3d truss structures · 2026 · DOI

  • Experimental validation of the proposed approach. Extension of the approach to other types of metamaterials. Investigation of the effects of interface properties on the thermal expansion behavior of metamaterials.

    Topological Optimization Design of Multiphase Mechanical Metamaterials with Tunable Thermal Expansion Considering Graded Interface · 2026 · DOI

Most-cited papers in Topology Optimization in Engineering

Most recent work

Find a gap in your own Topology Optimization in Engineering sub-topic

This page shows what the Topology Optimization in Engineering literature already flags as unresolved. To narrow it to your specific question, search the Research Gap Finder: the search is free with a free account and lists the papers closest to your topic first. Unlocking that topic (50 credits, charged once) fills the comparison table from our 4.5M-paper local library and writes the gaps from its rows.

Open the Research Gap Finder →

Related topics in Engineering

Human auditory perception and evaluation
583 open questions
Perovskite Materials and Applications
501 open questions
Concrete and Cement Materials Research
439 open questions
Urban Design and Spatial Analysis
424 open questions
Advancements in Battery Materials
409 open questions
Traffic and Road Safety
384 open questions
Spatial Cognition and Navigation
384 open questions
Digital Transformation in Industry
367 open questions
Open questions raised by papers listed on this page include: (1) The lack of a level set and topological derivative-based framework for connectivity constraints (“On a level set and topological derivative-based strategy for connectivity…”, 2026); (2) Future research can focus on experimental validation of the optimized impeller design (“Topology Optimization Design of Impellers Based on Selective Laser Melting…”, 2026); (3) There is a lack of an algorithm for modeling equidistant curves in cases where the base curve is given in discrete form (“Methods of constructing discretely represented equidistants for optimizing the…”, 2026); (4) The lack of consideration of dynamic properties in conventional structural design approaches (“Resonance Mitigation through Frequency-Constrained Topology Optimization: An…”, 2026); (5) There is a need for a novel computational framework that can optimise the fundamental frequency of multi-layered composite slabs with consideration of uncertainties (“Single-Criterion Optimisation with Consideration of Uncertainties of the…”, 2026). 92 gap statements have been mined from Topology Optimization in Engineering papers in our 4.5M-paper local library, which holds 1,116 papers on the topic; the gaps come from whichever of those papers state one. They are mostly the research gaps the authors state and the papers' abstracts, plus future-work, limitations and challenges passages. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one, so you can read the original claim in context.

Tools for your next paper

Gaps & Literature SearchFind open questions in any field — 120,000+ open gaps mined from our own library.Pre-CheckIs your paper ready? Acceptance odds for top, mid and open/emerging journals, in seconds.Journal FinderA ranked shortlist of target journals from a 17,500-venue index.Duplicate Publication CheckerCheck for prior publication across 7 sources and our local library.Citation GeneratorFreeA DOI or title → APA, MLA, Vancouver, Chicago, BibTeX, RIS. No signup.Graphical Abstract MakerFreeTurn your findings into a colorblind-safe graphical abstract.

How Pre-Check worksHow AI Review works

Compare the category — Honest roundups of the AI research tools, ours listed alongside the alternatives.

Command palette

Jump anywhere, run any action.