{"doi":"10.3390/math8020250","title":"Sharp Bounds on the Minimum M-Eigenvalue of Elasticity M-Tensors","abstract":"<jats:p>The M-eigenvalue of elasticity M-tensors play important roles in nonlinear elastic material analysis. In this paper, we establish an upper bound and two sharp lower bounds for the minimum M-eigenvalue of elasticity M-tensors without irreducible conditions, which improve some existing results. Numerical examples are proposed to verify the efficiency of the obtained results.</jats:p>","journal":"Mathematics","year":2020,"id":24144,"datarank":0.33086952309898837,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"self_citation_contribution":0.20794415416798362,"citation_network_contribution":0.12292536893100474,"self_endowment_contribution":0.20794415416798362,"citer_contribution":0.12292536893100474,"corpus_percentile":null,"corpus_rank":null,"citation_count":3,"citer_count":3,"citers_with_citation_signal":3,"citers_with_endowment":3,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":145805,"name":"Linxuan Sun","orcid":null,"position":1,"is_corresponding":false},{"id":15748,"name":"Gang Wang","orcid":"0000-0001-7264-2457","position":2,"is_corresponding":false},{"id":4679,"name":"Ying Zhang","orcid":"0000-0002-9638-9633","position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W3006409999","authors":[],"funders":[{"funder_name":"the Natural Science Foundation of China","grant_id":"11671228","title":null}],"total_grants":1,"fwci":0.2799,"citation_percentile":0.42331288,"influential_citations":3,"citation_trend":[{"year":2021,"count":1},{"year":2022,"count":1},{"year":2024,"count":1}],"oa_status":"gold","license":"cc-by","oa_locations":[{"url":"https://www.mdpi.com/2227-7390/8/2/250/pdf?version=1581676109","host_type":"journal"},{"url":"https://www.mdpi.com/2227-7390/8/2/250/pdf?version=1581676109","host_type":"GOLD"},{"url":"https://www.mdpi.com/2227-7390/8/2/250/pdf?version=1581676109","host_type":"publisher"},{"url":"https://www.mdpi.com/2227-7390/8/2/250/pdf","host_type":"publisher"},{"url":"https://doi.org/10.3390/math8020250","host_type":"journal"},{"url":"https://www.mdpi.com/2227-7390/8/2/250/","host_type":"repository"},{"url":"https://doaj.org/article/89bb7c2a4a9b4e0986ea3147c4a6647f","host_type":"repository"},{"url":"http://doi.org/10.3390/math8020250","host_type":"repository"}],"fields_of_study":["Tensor decomposition and applications","Elasticity and Material Modeling","Matrix Theory and Algorithms","Physics","Mathematics","Engineering"],"mesh_terms":[],"keywords":["Eigenvalues and eigenvectors","Elasticity (physics)","Upper and lower bounds","Linear elasticity","Mathematics","Nonlinear elasticity","Nonlinear system","Mathematical analysis","Applied mathematics","Physics","Quantum mechanics","Finite element method","Thermodynamics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T21:38:57.226524Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}