{"paper":{"title":"A novel large-strain kinematic framework for fiber-reinforced laminated composites and its application in the characterization of damage","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"A three-term decomposition of the deformation gradient isolates damage in fiber-reinforced laminates.","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.class-ph","authors_text":"Sandipan Paul Shivam","submitted_at":"2025-12-25T07:11:04Z","abstract_excerpt":"In this paper, a novel kinematic framework for fiber-reinforced composite materials is presented. For this purpose, we use the multiple natural configurations in conjunction with the multi-continuum theory of Bedford and Stern~(1972). Keeping the underlying physics of the proposed kinematics consistent. The proposed kinematics results in a three-term decomposition of the deformation gradient i.e. $\\mathbf{F}=\\mathbf{F}^e\\mathbf{F}^r_\\alpha\\mathbf{F}^d_\\alpha$, where $\\alpha$ represents either the matrix or the fiber. After discussing the kinematic framework in detail, we use this new kinematic"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The proposed kinematics results in a three-term decomposition of the deformation gradient i.e. F = F^e F^r_α F^d_α, where α represents either the matrix or the fiber. ... The derived damage contents can be used in developing an appropriate constitutive model for laminated composites undergoing damage.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The underlying physics of the proposed kinematics remains consistent when the multi-continuum theory of Bedford and Stern (1972) is applied to large-strain fiber-reinforced laminates and when incompatibility is taken as a direct measure of damage.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A three-term decomposition F = F^e F^r_α F^d_α of the deformation gradient, derived from multi-continuum theory, enables geometric characterization of matrix cracking, fiber breakage, interfacial debonding, and delamination in large-strain composite laminates.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A three-term decomposition of the deformation gradient isolates damage in fiber-reinforced laminates.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ac23cc690c812f8d77b3388a4f339511300751d82bcc85459191e000976f6eac"},"source":{"id":"2512.22285","kind":"arxiv","version":1},"verdict":{"id":"916f4a93-9d43-4d33-b872-a941262768fd","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T19:57:44.692531Z","strongest_claim":"The proposed kinematics results in a three-term decomposition of the deformation gradient i.e. F = F^e F^r_α F^d_α, where α represents either the matrix or the fiber. ... The derived damage contents can be used in developing an appropriate constitutive model for laminated composites undergoing damage.","one_line_summary":"A three-term decomposition F = F^e F^r_α F^d_α of the deformation gradient, derived from multi-continuum theory, enables geometric characterization of matrix cracking, fiber breakage, interfacial debonding, and delamination in large-strain composite laminates.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The underlying physics of the proposed kinematics remains consistent when the multi-continuum theory of Bedford and Stern (1972) is applied to large-strain fiber-reinforced laminates and when incompatibility is taken as a direct measure of damage.","pith_extraction_headline":"A three-term decomposition of the deformation gradient isolates damage in fiber-reinforced laminates."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.22285/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":48,"sample":[{"doi":"","year":1998,"title":"Mechanics of the inelastic behavior of materials","work_id":"43b37a93-f7df-406f-a481-f9263be7a73e","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1972,"title":"A multi-continuum theory for composite elastic materials.Acta Mechanica, 14(2):85–102, 1972","work_id":"6b54fa52-a54c-4d9a-b59a-3efe7ddaf4a5","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"Soft robotic reinforced by carbon fiber skeleton with large deformation and enhanced blocking forces.Composites Part B: Engineering, 223:109099, 2021","work_id":"f59b438a-8571-46c1-9c34-6a908ec708c9","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Origami- based deployable structures made of carbon fiber reinforced polymer composites.Composites Science and Technology, 191:108060, 2020","work_id":"03fe6a32-a380-419e-b021-fe9e1fd5f886","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2006,"title":"Hyperelastic modelling of arterial layers with distributed collagen fibre orientations.Journal of the royal society interface, 3(6):15–35, 2006","work_id":"af5b7315-0b9e-4a8d-9902-a43ce21db8bb","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":48,"snapshot_sha256":"53301e6af5a1739e9fc3423f8518af99f652d992494375d51c7cfaff16b62fca","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"025ba7407071f2b43a6e520ce4cf7205cdb5f80cbd5ce1c50c5052df09dca910"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}