{"paper":{"title":"Lattice-Spring Analogy for Isotropic Elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios.","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.comp-ph","authors_text":"D. M. Li, Meng-Cheng HE","submitted_at":"2026-05-03T14:48:17Z","abstract_excerpt":"This study introduces an innovative Isotropic Elastic Lattice Spring Model (IELSM) that addresses the fundamental limitation of classical lattice spring models: the constraint of fixed Poisson's ratio. By amending the total strain energy within the Lattice Spring Model (LSM), IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios. The model's core innovation lies in augmenting classical axial spring frameworks with additional volumetric constraints, establishing a direct and exact mapping between IELSM's parameters and macroscopi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"By amending the total strain energy within the Lattice Spring Model, IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios, establishing a direct and exact mapping between IELSM's parameters and macroscopic elastic constants.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The premise that the added volumetric constraints can be exactly decomposed into standard mechanical components (axial, shear and rotational springs) without introducing discretization artifacts or violating equilibrium in general boundary-value problems, as stated in the description of the numerical implementation.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"IELSM augments lattice spring strain energy with volumetric constraints to map directly to isotropic elastic constants for arbitrary Poisson ratios in 2D.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a199685497be24f00f2a2ab263fc279cd59a0371b8e080fa6a1ebd5570032bb7"},"source":{"id":"2605.15209","kind":"arxiv","version":1},"verdict":{"id":"4b6db790-00ee-4f94-b242-3656fb7b8145","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T17:32:21.639111Z","strongest_claim":"By amending the total strain energy within the Lattice Spring Model, IELSM provides a self-consistent formulation for simulating isotropic elastic materials with arbitrary Poisson's ratios, establishing a direct and exact mapping between IELSM's parameters and macroscopic elastic constants.","one_line_summary":"IELSM augments lattice spring strain energy with volumetric constraints to map directly to isotropic elastic constants for arbitrary Poisson ratios in 2D.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The premise that the added volumetric constraints can be exactly decomposed into standard mechanical components (axial, shear and rotational springs) without introducing discretization artifacts or violating equilibrium in general boundary-value problems, as stated in the description of the numerical implementation.","pith_extraction_headline":"Amending the strain energy in lattice spring models with volumetric constraints enables exact simulation of isotropic elasticity for arbitrary Poisson ratios."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15209/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T17:50:44.838712Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"6fdbda81dcc1ff78c4d8254ce1415589d587758eb16282535f216419ec494c2a"},"references":{"count":4,"sample":[{"doi":"","year":null,"title":"This can be understood from the fact that enhancing the volumetric stiffness (i.e., kv >","work_id":"c4c36f9d-276e-4960-bbe5-02cec96a2ef5","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2012,"title":"concave downward","work_id":"107ddf20-4313-4e85-8b07-dc0c80d3ce17","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/j.compgeo.2015.07.013","year":2015,"title":"Free vibration analysis of a cracked shear deformable beam on a two -parameter elastic foundation using a lattice spring model","work_id":"246a7646-692d-45e1-ba58-ccec360954f8","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1002/nme.99","year":2019,"title":"Theoretical formulation and seamless discrete approximation for localized failure of saturated poro-plastic structure interacting with reservoir","work_id":"d474d2cb-5f03-4af5-8784-9e2d3adf85c8","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":4,"snapshot_sha256":"23b8681823eac157761bdf7d03598c8a9abf8c1fdcbbec53ae95c53ac46e6d4f","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"52ce2b0978cbd9015baefd693ce432ba8ee1014b79d8c30c88981a24478ac882"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}