{"title":"A Variational Formulation of Physics-Informed Neural Network for the Applications of Homogeneous and Heterogeneous Material Properties Identification","authors":"Chuang Liu, Heng-An Wu","doi":"10.1142/s1758825123500655","DOIUrl":"https://doi.org/10.1142/s1758825123500655","url":null,"abstract":"A new approach for solving computational mechanics problems using physics-informed neural networks (PINNs) is proposed. Variational forms of residuals for the governing equations of solid mechanics are utilized, and the residual is evaluated over the entire computational domain by employing domain decomposition and polynomials test functions. A parameter network is introduced and initial and boundary conditions, as well as data mismatch, are incorporated into a total loss function using a weighted summation. The accuracy of the model in solving forward problems of solid mechanics is demonstrated to be higher than that of the finite element method (FEM). Furthermore, homogeneous and heterogeneous material distributions can be effectively captured by the model using limited observations, such as strain components. This contribution is significant for potential applications in non-destructive evaluation, where obtaining detailed information about the material properties is difficult.","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47398189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Van Hirtum, M. Ahmad, Raphal Chottin, X. Pelorson
{"title":"A Composite Analogy to Study the Linear Elasticity of a Pressurized Latex Tube with Application to a Mechanical Vocal Fold Replica","authors":"A. Van Hirtum, M. Ahmad, Raphal Chottin, X. Pelorson","doi":"10.1142/s1758825123500680","DOIUrl":"https://doi.org/10.1142/s1758825123500680","url":null,"abstract":"Mechanical deformable vocal fold replicas are an inherent part of physical studies of the fluid–structure interaction underlying vocal folds auto-oscillation during voiced speech sound production. In this context, the current work considers the linear stress–strain characterization of a pressurized latex tube vocal fold replica. An imaging approach is developed to measure the effective low-strain linear Young’s moduli along the streamwise (49[Formula: see text]kPa) and transverse main auto-oscillation (44[Formula: see text]kPa) directions. Next, a composite analogy is proposed to model the replica’s structure as an equivalent de-homogenized multi-layer material with two, three or four layers. This way equivalent low-strain Young’s moduli of each equivalent single layer can be estimated. Both measured effective and modeled equivalent low-strain Young’s moduli are within the range up to 65 kPa associated with human vocal folds. Resulting equivalent composite representations are of interest for the future design of pressurized latex tube replicas. This is illustrated considering the influence of outer layer latex properties on the overall estimate of the effective Young’s modulus. The proposed analogy is thus efficient in contributing to the direct comparison, in terms of low-strain elastic behavior, between replicas.","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49398290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hien V. Do, Phuc L. H. Ho, L. Canh, H. Nguyen-Xuan
{"title":"A Pseudo-Lower Bound Solution of Structural Bearing Capacity by Bezier Extraction Based Isogeometric Analysis","authors":"Hien V. Do, Phuc L. H. Ho, L. Canh, H. Nguyen-Xuan","doi":"10.1142/s1758825123500710","DOIUrl":"https://doi.org/10.1142/s1758825123500710","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48524967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Merging acoustic black holes and local resonators to enhance vibration attenuation in periodic metamaterial beams","authors":"Xiaosong Zhu, Xiang Yu, Yongzhen Mi, Hui Zheng","doi":"10.1142/s1758825123500692","DOIUrl":"https://doi.org/10.1142/s1758825123500692","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46739884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The improved Irwin's model for crack problems in power-law hardening materials","authors":"Yufeng Huang, H. Wang, F. Guo","doi":"10.1142/s1758825123500643","DOIUrl":"https://doi.org/10.1142/s1758825123500643","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44397062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A deformation diffusion-coupled constitutive theory for hydrogels by considering the preparation conditions","authors":"Shuai Xu, Zishun Liu","doi":"10.1142/s175882512350062x","DOIUrl":"https://doi.org/10.1142/s175882512350062x","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44156978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dissipation of incident wave energy by two submerged horizontal porous plates over a pair of trenches","authors":"S. Choudhary, S. Martha","doi":"10.1142/s1758825123500606","DOIUrl":"https://doi.org/10.1142/s1758825123500606","url":null,"abstract":"","PeriodicalId":49186,"journal":{"name":"International Journal of Applied Mechanics","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47760598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}