Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T11:33:08.821506Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2411.18213.
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 2026-08-12T11:33:08.821506Z
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
42 of 42 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ec684819-4f11-4ecf-9f58-8e6ee2de7666 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Hierarchy of generalized continua issued from micromorphic medium constructed by homogenization
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 82ac7c62-a579-40b7-ba94-2959fe5d56a7 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Exploring wave propagation in heterogeneous metastructures using the relaxed micromorphic model
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 b6e2c822-72c0-4d7d-811a-b4230b6199a7 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results
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 f3bb1b2a-542a-45ff-98d3-1d545522f6d2 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics
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 246c0fbd-0a1d-427f-89c3-745552aafda5 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Effects of micro-structure on the stress concentration at a spherical cavity
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 88b310b0-d436-4e61-ac9e-90ca9e4811bd · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Additive manufacturing and size-dependent mechanical properties of three-dimensional microarchitected, high-temperature ceramic metamaterials
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 c1127972-4d13-4117-a7c1-250027c79aac · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
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 fc4bd15b-f4b8-42a7-87ab-f8a86fe6f1e8 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Reduced relaxed micromorphic modeling of harmonically loaded metamaterial plates: investigating boundary effects in finite-size structures
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 7bd3b3f6-5d75-4f85-8bc1-b9a623836d78 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Unresolved cited work
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 e61a6a40-8439-4910-8fa2-ccbdddc1d172 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Nonlinear microstrain theories
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 96a0cd06-de79-4ca5-986a-a9c32eceeee8 · outbound
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 8e35c10a-10fc-4384-82c5-eca463336a40 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Korn-Maxwell-Sobolev inequalities for general incompatibilities
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 d6a60c62-d3b7-49f1-8ac5-bc8d793dec09 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Optimal incompatible Korn–Maxwell–Sobolev inequalities in all dimensions
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 0a3eb319-263a-4f88-bb3d-fb1654408a41 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Green’s functions for the isotropic planar relaxed micromorphic model—Concentrated force and concentrated couple
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 d7a5ce30-5ff9-4ca8-b8e1-29a3dd12e4e3 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A three-dimensional computational multiscale micromorphic analysis of porous materials in linear elasticity
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 7ca2ca50-2bcc-4b77-92bb-87747f7f045a · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Global regularity for a physically nonlinear version of the relaxed micromorphic model on Lipschitz domains
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 c1e08655-a6f4-479f-99b8-e8ef401c20f5 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Cosserat shape effects in the bending of foams
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 021bfc52-f10e-41cd-adc5-10d9af438bb1 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
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 9377c504-3446-4c2f-a897-eb3c64cb48f5 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Experimental observation of size-dependent behavior in surface energy of gold nanopar- ticles through atomic force microscope
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 1b5598e2-63f4-4277-b3da-6dee28669128 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Complete band gaps including non-local effects occur only in the relaxed micromorphic model
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 c953fd9c-4c7b-4e44-ab57-8c62574de708 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Band gaps in the relaxed linear micromorphic continuum
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 bb9e833c-e37a-40b8-994b-551cd005aa96 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Micro-structure in linear elasticity
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 b8b3bc7c-1e5b-4ee9-9ee8-94a7a390aa89 · outbound
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 199c85bb-3b41-4bb3-af64-d5fd80473740 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A unifying perspective: the relaxed linear micromorphic continuum
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 2812e3f8-54b2-48fe-9945-899c5f026220 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Poincar´ e meets Korn via Maxwell: extending Korn’s first inequality to incompatible tensor fields
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 04d0fab5-0f92-41b2-891e-1ab4cfda0638 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A note on local higher regularity in the dynamic linear relaxed micromorphic model
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 2b759bf6-fcbe-4c1a-a2f1-dd0c7d909508 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Continua with microstructure: Cosserat theory
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 0d2364ca-a402-4633-ad12-0f054e103f3f · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Estimation of effective bulk modulus of metamaterial composites with coated spheres using a reduced micromorphic model
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 901ae584-10d7-4ccb-9bd6-14e7dd24fbe9 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Unresolved cited work
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 4c07c697-1a1b-4946-8573-6da3748310ac · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
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 045c00e0-7daf-4117-a362-eed9b1feff89 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua
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 60f0b272-382e-49a0-a913-7e896ccf7b63 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
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 7b2c1cb3-9419-4e01-9444-e257f505b329 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Micromorphic continua: non-redundant formulations
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 89f3744f-7268-4f3b-9e65-4fd8950370a5 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Unresolved cited work
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 3466b28d-f433-40e1-82f9-1db1eea87a09 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A computational approach to identify the material parameters of the relaxed micromorphic model
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 91513c44-fa52-444e-aec1-2f1814086cd5 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model
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 ed432ae1-2e49-4351-ac7d-bd8e972c3df6 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Lagrange and H(curl,B) based finite element formulations for the relaxed micromorphic model
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 ebdf2d86-3520-4008-a7ff-333b65b5d011 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A reduced micromorphic model for multiscale materials and its applications in wave propagation
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 806ce49f-f8d0-45e7-9cb9-4cc7692f63ca · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequence
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 a8670769-5ad6-4290-a7b8-d7034cdaafa4 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem Primal and mixed finite element formulations for the relaxed micromorphic model
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 9e7b025b-67ef-4c8c-bde9-c9e6ba93779c · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A micromechanics-based micromorphic model for granular materials and prediction on dispersion behaviors
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 2b19c0dd-226d-4544-8b5a-d1d61548c3e0 · outbound
The isotropic relaxed micromorphic model in polar coordinates and its application to an elastostatic axisymmetric extension problem A non-classical Bernoulli-Euler beam model based on a simplified micro- morphic elasticity theory
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.
No inbound Pith citation observations are available.