Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:45:55.972465Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2411.18642.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:45:55.972465Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
46 of 46 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d2f7030f-15d7-473b-b112-58b680af662f · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Recent progress in gradient-structured metals and alloys,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1c49961d-a690-4c35-be55-f8183d535d02 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Nanostructured surface layer on metallic materials induced by surface mechanical attrition treatment,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d8b72616-c35b-4cc8-a4da-6bfb42908920 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Developing gradient metal alloys through radial deposition additive manufac- turing,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aae5cf52-468d-4a46-9057-021ab6f0cab7 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Copper-nickel func- tionally magnetic gradient material fabricated via directed energy deposition,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1f2fd7ec-cd97-4f64-a76e-b7d3eb856dba · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Directed energy deposition additive manufacturing of functionally graded al-w composites,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0636ed63-5d11-43bc-afed-d2b5b471dd51 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Directed energy deposition (ded) additive manufacturing: Physical characteristics, defects, challenges and applications,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 23921c93-ff6a-4db7-aaca-124c9028787d · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Functionally graded ti6al4v-mo alloy manufactured with ded-clad ® process,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5f31e4c8-386a-4efc-a1ff-89f8610cd548 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Directed energy deposition process development for functionally gradient copper-inconel 718 materials,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c165cf73-572d-4a5e-8693-8bfd8b707d97 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Direct metal additive manufacturing processes and their sustainable applications for green technology: A review,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b936aca8-4ed1-4a99-b527-6cd1ec07d795 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Applications of laser assisted metal rapid tooling process to manufacture of molding & forming tools—state of the art.,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 765e21d8-aa01-4a7a-bfd5-a6f846b5ad3c · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface An overview of functionally graded additive manufacturing,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 394330f3-46d7-4693-a93d-ee8c38893c1e · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Structural optimized design of a powder mixer for multi-material directed energy deposition based on cfd-dpm,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 059322ec-3a87-4126-9901-b27e1ed8d6fa · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Poisson’s ratio and modern materials,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7699df83-35ee-4cbe-8f25-9545cbf99fad · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Metal additive manufacturing in aerospace: A review,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6ab3fa36-e377-4422-832c-083b90eab506 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface An assessment of phase field fracture: crack initiation and growth,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation de112ce4-951c-4549-9c37-d25dfc186560 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d0e8eab2-fd77-4369-ad52-298f7565a6f4 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d427158f-06d2-4ffc-bdf6-be1aa610c7bf · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase-field modeling of ductile fracture,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 86527bbb-6e18-458a-b289-794101e607e6 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface A phase- field model for ductile fracture with shear bands: A parallel implementation,
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 86c5aed7-dc62-4015-b936-1b874d9a191f · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase field modeling of fracture in multi-physics problems. part ii. coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic–plastic solids,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a5a78a0a-cdc3-4efc-af23-0597930b8a1d · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase field modeling of fracture in multi-physics problems. part iii. crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 944bbd29-65ee-4d66-bf04-36a4ae3f4fb0 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface A phase-field model for ductile fracture at finite strains and its experimental verification,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 108aee44-f919-4a21-9f81-d68a33120237 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Vi. the phenomena of rupture and flow in solids,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 39fbc675-dab0-44f2-ad79-6189135a9e8c · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Revisiting brittle fracture as an energy minimization problem,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6ee2f2ef-6263-4fb7-b699-fcf8215b8f6f · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Robust, strong form mechanics on an adaptive structured grid: ef- ficiently solving variable-geometry near-singular problems with diffuse interface,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 474862f6-0847-46fa-b5f4-3d21048e79be · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase field modelling of crack propagation in functionally graded materials,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3d1d5d22-92b8-4726-b691-7ce4d8edb40a · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Probabilistic investigation into brittle fracture of functionally graded materials using phase-field method,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6494f2c7-52ba-4730-829a-9d7d7f7b86c3 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase-field modeling of thermal shock fracture in functionally graded materials,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ee2bc6bb-3115-469a-86e3-10363494cae3 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Adaptive analysis for phase-field model of brittle fracture of functionally graded materials,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 31d0ffd9-cbd5-411c-a1e7-da239b6fe434 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Simulation of crack propagation in functionally graded materials under mixed-mode and non-proportional loading,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1a842935-3cd7-4e90-8b57-1eb27934fd83 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 205faa0c-d55b-4320-b97d-55eaebf11254 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Functionally graded material of 304l stainless steel and inconel 625 fabricated by directed energy deposition: Characterization and thermodynamic modeling,
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 683e1ceb-9c63-4577-b28a-155b8af35404 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Microstructure and mechanical properties of functionally graded ticp/ti6al4v composite fabricated by laser melting deposition,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 65a20500-9594-4b2a-b653-61ffa6e216f9 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Case study of a functionally graded aluminum part,
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 118881ae-d0b4-4d6c-9291-00b497d6fa8e · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Design of functionally graded ti–al alloy with adjustable mechanical properties: a molecular dynamics insights,
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 82ca0989-d96e-4fe6-9b82-2f2ea071c9f6 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Investigation on the mechanical properties of functionally graded nickel and aluminium alloy by molecular dynamics study,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1c1f1cc2-b328-47b1-80b7-7c617d9c5502 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase-field ductile fracture analysis of multi-materials and functionally graded composites through numerical and experimental methods,
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 51cc1d23-1dd3-4d33-a4d5-e289653803da · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase field disconnections: A continuum method for disconnection- mediated grain boundary motion,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8efd6ccc-f40b-4233-aa70-36c1139cc9ea · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Block structured adaptive mesh refinement and strong form elasticity approach to phase field fracture with applications to delamination, crack branching and crack deflection,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 474daa38-4949-4929-a6af-d1e4083c8c3a · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Finite kinematics diffuse interface mechanics coupled to solid composite propellant deflagration,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 072f4fb8-9eab-4c6f-842e-6643b78099d8 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface On degradation functions in phase field fracture models,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dbb4e5be-a954-4f02-8de9-cdcf6f4834db · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 93ac0074-a005-4c90-8bc2-9596aa258377 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6db27d2d-fb79-4876-9983-414f0c898777 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Gradient material mechanics: perspectives and prospects,
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ea7b1ef9-596a-470f-97eb-7cff088ea1d9 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Fracture behavior of bio-inspired functionally graded soft–hard composites made by multi-material 3d printing: The case of colinear cracks,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation fc45315e-5494-4e38-9ad2-11b244107090 · outbound
Ductile fracture in functionally graded materials: Insight into crack behavior within the gradient interface Phase field modeling of fracture in functionally graded materials: Gamma-convergence and mechanical insight on the effect of grading,
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.