{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RQRDGX4HPOEKI4DOLRMVAVBLPF","short_pith_number":"pith:RQRDGX4H","schema_version":"1.0","canonical_sha256":"8c22335f877b88a4706e5c5950542b7960643c66742c6f64864d7c1463e9e19d","source":{"kind":"arxiv","id":"1702.03662","version":2},"attestation_state":"computed","paper":{"title":"Continuous/Discontinuous Finite Element Modelling of Kirchhoff Plate Structures in $\\mathbb{R}^3$ Using Tangential Differential Calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Mats G. Larson, Peter Hansbo","submitted_at":"2017-02-13T07:48:00Z","abstract_excerpt":"We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based on elements that are continuous for the displacements and discontinuous for the rotations, using $C^0$-elements for the discretisation of the plate as well as for the membrane deformations. Key to the formulation of the method is a convenient definition of jumps and averages of forms that are $d$-linear in terms of th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1702.03662","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-13T07:48:00Z","cross_cats_sorted":[],"title_canon_sha256":"707c4bdd7211f129d7d1936fc62033c042564680c8d2dd71d3bd4627cb3c928b","abstract_canon_sha256":"1eba9969576ae57f0e8c26d0d871bc6ebeb23884a46d63a4be40316848adc4ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:51.604300Z","signature_b64":"MUgPGQ9uRAIupGrw0EsZsuKlra7qdoyAeQ9a5RaVNrovO4X//ymyQ20rnnj4zysfomNV3S8bFqS1ysAfreVHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c22335f877b88a4706e5c5950542b7960643c66742c6f64864d7c1463e9e19d","last_reissued_at":"2026-05-18T00:50:51.603813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:51.603813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuous/Discontinuous Finite Element Modelling of Kirchhoff Plate Structures in $\\mathbb{R}^3$ Using Tangential Differential Calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Mats G. Larson, Peter Hansbo","submitted_at":"2017-02-13T07:48:00Z","abstract_excerpt":"We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based on elements that are continuous for the displacements and discontinuous for the rotations, using $C^0$-elements for the discretisation of the plate as well as for the membrane deformations. Key to the formulation of the method is a convenient definition of jumps and averages of forms that are $d$-linear in terms of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03662","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1702.03662","created_at":"2026-05-18T00:50:51.603870+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.03662v2","created_at":"2026-05-18T00:50:51.603870+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03662","created_at":"2026-05-18T00:50:51.603870+00:00"},{"alias_kind":"pith_short_12","alias_value":"RQRDGX4HPOEK","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RQRDGX4HPOEKI4DO","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RQRDGX4H","created_at":"2026-05-18T12:31:39.905425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF","json":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF.json","graph_json":"https://pith.science/api/pith-number/RQRDGX4HPOEKI4DOLRMVAVBLPF/graph.json","events_json":"https://pith.science/api/pith-number/RQRDGX4HPOEKI4DOLRMVAVBLPF/events.json","paper":"https://pith.science/paper/RQRDGX4H"},"agent_actions":{"view_html":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF","download_json":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF.json","view_paper":"https://pith.science/paper/RQRDGX4H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.03662&json=true","fetch_graph":"https://pith.science/api/pith-number/RQRDGX4HPOEKI4DOLRMVAVBLPF/graph.json","fetch_events":"https://pith.science/api/pith-number/RQRDGX4HPOEKI4DOLRMVAVBLPF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF/action/storage_attestation","attest_author":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF/action/author_attestation","sign_citation":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF/action/citation_signature","submit_replication":"https://pith.science/pith/RQRDGX4HPOEKI4DOLRMVAVBLPF/action/replication_record"}},"created_at":"2026-05-18T00:50:51.603870+00:00","updated_at":"2026-05-18T00:50:51.603870+00:00"}