{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T22:11:23Z","timestamp":1780524683206,"version":"3.54.1"},"reference-count":57,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,8,1]],"date-time":"2026-08-01T00:00:00Z","timestamp":1785542400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100013076","name":"National Major Science and Technology Projects of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100013076","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Advances in Engineering Software"],"published-print":{"date-parts":[[2026,8]]},"DOI":"10.1016\/j.advengsoft.2026.104196","type":"journal-article","created":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T09:06:44Z","timestamp":1778490404000},"page":"104196","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Robust topology optimization for fracture resistance based on fracture phase field and interval model"],"prefix":"10.1016","volume":"219","author":[{"given":"Wang","family":"Zhao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3091-8221","authenticated-orcid":false,"given":"Jiang","family":"Fan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhaoqing","family":"Guo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xingtong","family":"Fei","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiaming","family":"Wei","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chaojun","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"12","key":"10.1016\/j.advengsoft.2026.104196_bib0001","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1016\/S1631-073X(02)02412-3","article-title":"A level-set method for shape optimization","volume":"334","author":"Allaire","year":"2002","journal-title":"C R Math"},{"issue":"4","key":"10.1016\/j.advengsoft.2026.104196_bib0002","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/BF01650949","article-title":"Optimal shape design as a material distribution problem","volume":"1","author":"Bends\u00f8e","year":"1989","journal-title":"Struct Optim"},{"issue":"8","key":"10.1016\/j.advengsoft.2026.104196_bib0003","doi-asserted-by":"crossref","DOI":"10.1115\/1.4027609","article-title":"Doing topology optimization explicitly and geometrically\u2014A new moving morphable components based framework","volume":"81","author":"Guo","year":"2014","journal-title":"J Appl Mech"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0004","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s00366-018-0580-z","article-title":"Maximizing the first eigenfrequency of structures subjected to uniform boundary erosion through the level set method","volume":"35","author":"Li","year":"2019","journal-title":"Eng Comput"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0005","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.advengsoft.2016.07.017","article-title":"A survey of manufacturing oriented topology optimization methods","volume":"100","author":"Liu","year":"2016","journal-title":"Adv Eng Softw"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0006","first-page":"60","article-title":"Topology optimization of 3D self-supporting structures for additive manufacturing","volume":"12","author":"Langelaar","year":"2016","journal-title":"Addit Manuf"},{"issue":"4","key":"10.1016\/j.advengsoft.2026.104196_bib0007","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1007\/s11831-015-9151-2","article-title":"Topology optimization in aircraft and aerospace structures design","volume":"23","author":"Zhu","year":"2016","journal-title":"Arch Comput Methods Eng"},{"issue":"12","key":"10.1016\/j.advengsoft.2026.104196_bib0008","doi-asserted-by":"crossref","first-page":"1955","DOI":"10.1002\/nme.2400","article-title":"Locally enhanced Voronoi cell finite element model (LE-VCFEM) for simulating evolving fracture in ductile microstructures containing inclusions","volume":"76","author":"Hu","year":"2008","journal-title":"Int J Numer Methods Eng"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0009","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1002\/nme.3312","article-title":"Modeling steel fiber reinforced concrete: numerical immersed boundary approach and a phenomenological mesomodel for concrete-fiber interaction","volume":"90","author":"Pros","year":"2012","journal-title":"Int J Numer Methods Eng"},{"issue":"3","key":"10.1016\/j.advengsoft.2026.104196_bib0010","doi-asserted-by":"crossref","first-page":"839","DOI":"10.1007\/s00158-016-1510-6","article-title":"Topology optimization for minimum weight with compliance and simplified nominal stress constraints for fatigue resistance","volume":"55","author":"Collet","year":"2017","journal-title":"Struct Multidiscip Optim"},{"issue":"3","key":"10.1016\/j.advengsoft.2026.104196_bib0011","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/s00158-007-0160-0","article-title":"Fracture resistance via topology optimization","volume":"36","author":"Challis","year":"2008","journal-title":"Struct Multidiscip Optim"},{"issue":"5","key":"10.1016\/j.advengsoft.2026.104196_bib0012","doi-asserted-by":"crossref","first-page":"1847","DOI":"10.1007\/s00158-016-1623-y","article-title":"Topology optimization considering fracture mechanics behaviors at specified locations","volume":"55","author":"Kang","year":"2017","journal-title":"Struct Multidiscip Optim"},{"issue":"3","key":"10.1016\/j.advengsoft.2026.104196_bib0013","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1007\/s00158-016-1579-y","article-title":"On design optimization for structural crashworthiness and its state of the art","volume":"55","author":"Fang","year":"2017","journal-title":"Struct Multidiscip Optim"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0014","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/j.compstruct.2017.11.088","article-title":"Multi-material topology optimization design for continuum structures with crack patterns","volume":"186","author":"Banh","year":"2018","journal-title":"Compos Struct"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.engstruct.2019.110089","article-title":"Structural topological optimization with dynamic fatigue constraints subject to dynamic random loads","volume":"205","author":"Zhao","year":"2020","journal-title":"Eng Struct"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0016","doi-asserted-by":"crossref","DOI":"10.1016\/j.jmps.2023.105204","article-title":"On topology optimization with gradient-enhanced damage: an alternative formulation based on linear physics","volume":"173","author":"Russ","year":"2023","journal-title":"J Mech Phys Solids"},{"issue":"8","key":"10.1016\/j.advengsoft.2026.104196_bib0017","doi-asserted-by":"crossref","first-page":"1209","DOI":"10.1016\/j.jmps.2009.04.011","article-title":"Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments","volume":"57","author":"Amor","year":"2009","journal-title":"J Mech Phys Solids"},{"issue":"45","key":"10.1016\/j.advengsoft.2026.104196_bib0018","doi-asserted-by":"crossref","first-page":"2765","DOI":"10.1016\/j.cma.2010.04.011","article-title":"A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits","volume":"199","author":"Miehe","year":"2010","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"10","key":"10.1016\/j.advengsoft.2026.104196_bib0019","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1002\/nme.2861","article-title":"Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations","volume":"83","author":"Miehe","year":"2010","journal-title":"Int J Numer Methods Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0020","doi-asserted-by":"crossref","first-page":"2827","DOI":"10.1002\/nme.6334","article-title":"A novel topology optimization formulation for enhancing fracture resistance with a single quasi-brittle material","volume":"121","author":"Russ","year":"2020","journal-title":"Int J Numer Methods Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0021","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.cma.2018.12.031","article-title":"Topology optimization for brittle fracture resistance","volume":"347","author":"Russ","year":"2019","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0022","doi-asserted-by":"crossref","DOI":"10.1016\/j.tafmec.2021.102919","article-title":"A SIMP-phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites","volume":"114","author":"Li","year":"2021","journal-title":"Theor Appl Fract Mech"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0023","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruct.2023.117750","article-title":"SIMP phase-field topology optimization framework to maximize fracture resistance in FGMs","volume":"329","author":"Asur Vijaya Kumar","year":"2024","journal-title":"Compos Struct"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0024","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2024.117438","article-title":"Topology optimization of structures guarding against brittle fracture via peridynamics-based SIMP approach","volume":"432","author":"Zhang","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0025","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruc.2021.106515","article-title":"A path-dependent level set topology optimization with fracture criterion","volume":"249","author":"Wu","year":"2021","journal-title":"Comput Struct"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0026","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcp.2022.111048","article-title":"Topology optimization of structures undergoing brittle fracture","volume":"458","author":"Desai","year":"2022","journal-title":"J Comput Phys"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0027","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2023.115963","article-title":"Level-set topology optimization for ductile and brittle fracture resistance using the phase-field method","volume":"409","author":"Noii","year":"2023","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0028","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2022.114846","article-title":"Topology optimization for enhanced dynamic fracture resistance of structures","volume":"394","author":"Wu","year":"2022","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0029","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2024.117237","article-title":"Adaptive topology optimization for enhancing resistance to brittle fracture using the phase field model","volume":"431","author":"Zhang","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0030","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2025.118278","article-title":"Optimization for enhancing resistance to brittle fracture using the phase field model integrating strain gradient","volume":"446","author":"Lin","year":"2025","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"12","key":"10.1016\/j.advengsoft.2026.104196_bib0031","doi-asserted-by":"crossref","DOI":"10.1007\/s00158-025-04180-y","article-title":"Interval reliability-based phase-field topology optimization for impact resistance via single-loop sequential strategy","volume":"68","author":"Zhao","year":"2025","journal-title":"Struct Multidiscip Optim"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0032","doi-asserted-by":"crossref","DOI":"10.1016\/j.advengsoft.2023.103567","article-title":"Topology optimization for energy absorption of quasi-brittle structures undergoing dynamic fractures","volume":"187","author":"Wu","year":"2024","journal-title":"Adv Eng Softw"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0033","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s00158-009-0401-5","article-title":"Component and system reliability-based topology optimization using a single-loop method","volume":"41","author":"Silva","year":"2010","journal-title":"Struct Multidiscip Optim"},{"issue":"4","key":"10.1016\/j.advengsoft.2026.104196_bib0034","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1007\/BF02916480","article-title":"Reliability-based topology optimization with uncertainties","volume":"20","author":"Kim","year":"2006","journal-title":"J Mech Sci Technol"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0035","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2024.117460","article-title":"Reliability-based topology optimization using LRPIM surrogate model considering local stress and displacement constraints","volume":"432","author":"Hu","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"41","key":"10.1016\/j.advengsoft.2026.104196_bib0036","doi-asserted-by":"crossref","first-page":"3228","DOI":"10.1016\/j.cma.2009.06.001","article-title":"Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models","volume":"198","author":"Kang","year":"2009","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"4","key":"10.1016\/j.advengsoft.2026.104196_bib0037","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/s00158-023-03532-w","article-title":"Interval reliability-based topology optimization of piezoelectric structures under single-loop sequential strategy and negative feedback control theory","volume":"66","author":"Zhao","year":"2023","journal-title":"Struct Multidiscip Optim"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0038","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1299\/jamdsm.2.96","article-title":"Robust topology optimization for compliant mechanisms considering uncertainty of applied loads","volume":"2","author":"Kogiso","year":"2008","journal-title":"J Adv Mech Des Syst Manuf"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0039","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1016\/j.cma.2017.09.033","article-title":"Robust topology optimization under multiple independent unknown-but-bounded loads","volume":"329","author":"Liu","year":"2018","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0040","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.cma.2019.04.022","article-title":"Robust compliance-based topology optimization: a discussion on physical consistency","volume":"352","author":"Torii","year":"2019","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0041","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1016\/j.advengsoft.2018.02.003","article-title":"A critical analysis of expected-compliance model in volume-constrained robust topology optimization with normally distributed loading directions, using a minimax-compliance approach alternatively","volume":"120","author":"Cs\u00e9bfalvi","year":"2018","journal-title":"Adv Eng Softw"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0042","doi-asserted-by":"crossref","first-page":"875","DOI":"10.1007\/s00366-021-01372-0","article-title":"Robust multiscale design of incompressible multi-materials under loading uncertainties","volume":"38","author":"Hoang","year":"2022","journal-title":"Eng Comput"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0043","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.advengsoft.2016.05.002","article-title":"Robust topology optimization for structures under interval uncertainty","volume":"99","author":"Wu","year":"2016","journal-title":"Adv Eng Softw"},{"issue":"3","key":"10.1016\/j.advengsoft.2026.104196_bib0044","doi-asserted-by":"crossref","first-page":"1241","DOI":"10.1007\/s00158-021-02911-5","article-title":"A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties","volume":"64","author":"Liu","year":"2021","journal-title":"Struct Multidiscip Optim"},{"issue":"6","key":"10.1016\/j.advengsoft.2026.104196_bib0045","doi-asserted-by":"crossref","first-page":"5321","DOI":"10.1007\/s00366-022-01615-8","article-title":"Size-controlled cross-scale robust topology optimization based on adaptive subinterval dimension-wise method considering interval uncertainties","volume":"38","author":"Wang","year":"2022","journal-title":"Eng Comput"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0046","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2023.116589","article-title":"Complex uncertainty-oriented robust topology optimization for multiple mechanical metamaterials based on double-layer mesh","volume":"419","author":"Li","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0047","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s00366-023-01823-w","article-title":"Adaptive density-based robust topology optimization under uncertain loads using parallel computing","volume":"40","author":"Herrero-P\u00e9rez","year":"2024","journal-title":"Eng Comput"},{"issue":"2","key":"10.1016\/j.advengsoft.2026.104196_bib0048","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1007\/s00366-023-01829-4","article-title":"A novel robust stress-based multimaterial topology optimization model for structural stability framework using refined adaptive continuation method","volume":"40","author":"Banh","year":"2024","journal-title":"Eng Comput"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0049","doi-asserted-by":"crossref","DOI":"10.1016\/j.cma.2024.116766","article-title":"A novel interval dynamic topology optimization methodology of piezoelectric structures under reliable active control","volume":"421","author":"Zhao","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0050","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1007\/s11433-011-4570-z","article-title":"A collocation interval analysis method for interval structural parameters and stochastic excitation","volume":"55","author":"Qi","year":"2012","journal-title":"Sci China Phys Mech Astron"},{"issue":"2","key":"10.1016\/j.advengsoft.2026.104196_bib0051","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/BF01278493","article-title":"Adaptive topology optimization of elastoplastic structures","volume":"15","author":"Maute","year":"1998","journal-title":"Struct Optim"},{"issue":"15","key":"10.1016\/j.advengsoft.2026.104196_bib0052","doi-asserted-by":"crossref","first-page":"2135","DOI":"10.1016\/S0045-7825(00)00227-9","article-title":"Topology and shape optimization for elastoplastic structural response","volume":"190","author":"Schwarz","year":"2001","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"7","key":"10.1016\/j.advengsoft.2026.104196_bib0053","doi-asserted-by":"crossref","first-page":"2057","DOI":"10.1016\/j.engstruct.2008.01.009","article-title":"Topology optimization of nonlinear structures under displacement loading","volume":"30","author":"Huang","year":"2008","journal-title":"Eng Struct"},{"key":"10.1016\/j.advengsoft.2026.104196_bib0054","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1016\/j.cma.2017.12.021","article-title":"Topology optimization for maximizing the fracture resistance of quasi-brittle composites","volume":"332","author":"Xia","year":"2018","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"1","key":"10.1016\/j.advengsoft.2026.104196_bib0055","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1007\/BF01214002","article-title":"Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima","volume":"16","author":"Sigmund","year":"1998","journal-title":"Struct Multidiscip Optim"},{"issue":"2","key":"10.1016\/j.advengsoft.2026.104196_bib0056","doi-asserted-by":"crossref","DOI":"10.1002\/nme.1064","article-title":"Achieving minimum length scale in topology optimization using nodal design variables and projection functions","volume":"61","author":"Guest","year":"2004","journal-title":"Int J Numer Methods Eng"},{"issue":"5","key":"10.1016\/j.advengsoft.2026.104196_bib0057","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1002\/cnm.404","article-title":"Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill's family of generalized strain tensors","volume":"17","author":"Miehe","year":"2001","journal-title":"Commun Numer Methods Eng"}],"container-title":["Advances in Engineering Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S096599782600102X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S096599782600102X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T21:53:51Z","timestamp":1780523631000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S096599782600102X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8]]},"references-count":57,"alternative-id":["S096599782600102X"],"URL":"https:\/\/doi.org\/10.1016\/j.advengsoft.2026.104196","relation":{},"ISSN":["0965-9978"],"issn-type":[{"value":"0965-9978","type":"print"}],"subject":[],"published":{"date-parts":[[2026,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Robust topology optimization for fracture resistance based on fracture phase field and interval model","name":"articletitle","label":"Article Title"},{"value":"Advances in Engineering Software","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.advengsoft.2026.104196","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"104196"}}