{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:T2LN3TPPI53ZWHJYUKG2L7N52V","short_pith_number":"pith:T2LN3TPP","schema_version":"1.0","canonical_sha256":"9e96ddcdef47779b1d38a28da5fdbdd5481e5037d9e43b316ab0766d8b509b46","source":{"kind":"arxiv","id":"1901.05738","version":1},"attestation_state":"computed","paper":{"title":"On the Finite Element Implementation of Functionally Graded Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.comp-ph","authors_text":"Emilio Mart\\'inez-Pa\\~neda","submitted_at":"2019-01-17T11:41:54Z","abstract_excerpt":"We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the element level by means of the two most commonly used schemes: (i) nodal based gradation, often via an auxiliary (non-physical) temperature-dependence, and (ii) Gauss integration point based gradation. These formulations are extensively compared by solving a number of paradigmatic boundary value problems for which analytical solutions can be obtained. The na"},"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":"1901.05738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-01-17T11:41:54Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"9702654e9b9c1d7c9138afdaef98830d1838fa50ee240d5d1337f6e526ceee76","abstract_canon_sha256":"69a683471096e5bce9ff4bfec7326546f538c1778df8c1a539c000f0f4721130"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:06.268788Z","signature_b64":"LTBAc2HxOp0lBsxzfxNoef4MTqKkh/ASDiYbpifw/QKTMmS91V5iNtXqqQKak6DATvj3FkkiFDpvVOA10sheCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e96ddcdef47779b1d38a28da5fdbdd5481e5037d9e43b316ab0766d8b509b46","last_reissued_at":"2026-05-17T23:56:06.268125Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:06.268125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Finite Element Implementation of Functionally Graded Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.comp-ph","authors_text":"Emilio Mart\\'inez-Pa\\~neda","submitted_at":"2019-01-17T11:41:54Z","abstract_excerpt":"We investigate the numerical implementation of functionally graded properties in the context of the finite element method. The macroscopic variation of elastic properties inherent to functionally graded materials (FGMs) is introduced at the element level by means of the two most commonly used schemes: (i) nodal based gradation, often via an auxiliary (non-physical) temperature-dependence, and (ii) Gauss integration point based gradation. These formulations are extensively compared by solving a number of paradigmatic boundary value problems for which analytical solutions can be obtained. The na"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05738","kind":"arxiv","version":1},"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":"1901.05738","created_at":"2026-05-17T23:56:06.268238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.05738v1","created_at":"2026-05-17T23:56:06.268238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05738","created_at":"2026-05-17T23:56:06.268238+00:00"},{"alias_kind":"pith_short_12","alias_value":"T2LN3TPPI53Z","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"T2LN3TPPI53ZWHJY","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"T2LN3TPP","created_at":"2026-05-18T12:33:27.125529+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/T2LN3TPPI53ZWHJYUKG2L7N52V","json":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V.json","graph_json":"https://pith.science/api/pith-number/T2LN3TPPI53ZWHJYUKG2L7N52V/graph.json","events_json":"https://pith.science/api/pith-number/T2LN3TPPI53ZWHJYUKG2L7N52V/events.json","paper":"https://pith.science/paper/T2LN3TPP"},"agent_actions":{"view_html":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V","download_json":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V.json","view_paper":"https://pith.science/paper/T2LN3TPP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.05738&json=true","fetch_graph":"https://pith.science/api/pith-number/T2LN3TPPI53ZWHJYUKG2L7N52V/graph.json","fetch_events":"https://pith.science/api/pith-number/T2LN3TPPI53ZWHJYUKG2L7N52V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V/action/storage_attestation","attest_author":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V/action/author_attestation","sign_citation":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V/action/citation_signature","submit_replication":"https://pith.science/pith/T2LN3TPPI53ZWHJYUKG2L7N52V/action/replication_record"}},"created_at":"2026-05-17T23:56:06.268238+00:00","updated_at":"2026-05-17T23:56:06.268238+00:00"}