On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials by Luciano Feo, Rosa Penna

“…Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation of the elastic equilibrium problem. …”
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A Mesoscopic Simulation for the Early-Age Shrinkage Cracking Process of High Performance Concrete in Bridge Engineering by Guodong Li, Zonglin Wang

“…By combining this model with continuum mechanics, damage mechanics, and fracture mechanics, a relatively complete system for concrete mesoscopic mechanics analysis was established to simulate the process of early-age shrinkage cracking in HPC. …”
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A Modified Equation Approach to Selecting a Nonstandard Finite Difference Scheme Applied to the Regularized Long Wave Equation by E. Momoniat

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Numerical Approximation of Compressible Two-Phase Six-Equation Model Using CE/SE and RKDG Schemes by Omar Rabbani, Saqib Zia, Munshoor Ahmed, Asad Rehman, Ilyas Khan, Mulugeta Andualem

“…This scheme offers an effective numerical method for several continuum mechanics problems. The suggested scheme suppresses the numerical oscillations and dissipation effects. …”
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A new framework for shallow approximations of incompressible flows by Shourick, Nathan, Cheddadi, Ibrahim, Saramito, Pierre

“…The starting point of the proposed framework is a generic equation, easily adaptable to most problems of continuum mechanics, for which a thin-layer approximation is developed. …”
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Assessment Model and Virtual Simulation for Fatigue Damage Evolution of Asphalt Mortar and Mixture by Danhua Wang, Xunhao Ding, Linhao Gu, Tao Ma

“…Focused on the fatigue performance of the asphalt mortar, this study proposed an assessment model for fatigue damage evolution based on the continuum mechanics. From the perspective of the material scale rather than the macrostructure, the proposed damage model was set by concentrating on the stress-strain state of a tiny point which could characterize the material performance accurately. …”
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Dynamical behavior analysis and control of time-varying lifting system based on fuzzy adaptive back-stepping controller by Wang Lei, Cao Guohua

“…Firstly, the dynamic model is constructed and derived by continuum mechanics, and the dynamical behavior is obtained by time-frequency analysis method. …”
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Strain Prediction of Grain in Solid Rocket Motor under the Pressure Curing Molding Technology by Kaining Zhang, Chunguang Wang, Qun Li, Zhenyu Guo

“…This research paper focuses on deriving a strain prediction function for grains based on continuum mechanics, taking into account the influence of pressure curing molding technology. …”
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Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters by M. M. Rashidi, E. Momoniat, B. Rostami

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MHD Natural Convection with Convective Surface Boundary Condition over a Flat Plate by Mohammad M. Rashidi, Mohammad Ferdows, Amir Basiri Parsa, Shirley Abelman

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A Finite Element Method orthotropic multi-yield elastic-inelastic model of a wood-adhesive-steel composite by Vincenzo De Luca, Cosimo Marano

“…In this work, the Finite Element Method model is formulated within the theories of Continuum Mechanics and irreversible thermodynamics of deformation, finite strains hypothesis, and kinematics of large displacements. …”
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Lie and Riccati Linearization of a Class of Liénard Type Equations by A. G. Johnpillai, C. M. Khalique, F. M. Mahomed

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Numerical Analysis Method considering Coupled Effects of THMC Multifields on Unsaturated Expansive Soil Subgrade Treated with Lime by Jie Liu, Pan Chen, Zheng Lu, Hailin Yao

“…The response model subjected to coupled effect of thermo-hydro-mechano-chemical (THMC) was built in the context of basic theories in the polyporous polyphasic medium mechanics, the mixture theory in the continuum mechanics, and the thermodynamic theories. The finite element discretization of the response model was implemented based on the Galerkin method. …”
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Effect of Curvature-Dependent Surface Elasticity on the Flexural Properties of Nanowire by Mengjun Wu, Quan Yuan, Honglin Li, Bin Wu, Lin Fang, Mengyang Huang

“…The first term is defined by the precept of continuum mechanics, and the last two terms are defined by surface elasticity. …”
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Analytical Investigation of Laminar Viscoelastic Fluid Flow over a Wedge in the Presence of Buoyancy Force Effects by B. Rostami, M. M. Rashidi, P. Rostami, E. Momoniat, N. Freidoonimehr

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Second-Order Systems of ODEs Admitting Three-Dimensional Lie Algebras and Integrability by Muhammad Ayub, Masood Khan, F. M. Mahomed

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Principle of Virtual Work as Foundational Framework for Metamaterial Discovery and Rational Design by dell’Isola, Francesco, Misra, Anil

“…The principle of virtual work provides the necessary framework for development of theories that can lead to novel metamaterials, as it was the unifying principle which allowed the French-Italian School, headed by D’Alembert, Lagrange and Gabrio Piola, to found modern continuum mechanics. Based upon this framework we have conceived a metamaterial synthesis schema that exploits micro-macro identification traceable to the early days of the formulation of continuum theories for deformable solids. …”
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Maintenance of microclimate parameters in unheated parts of buildings by overflow air heating by S. V. Sarsyan, V. Yu. Kravchuk

“…The research methodology is based on the traditional laws and equations of heat and mass transfer, aerodynamics and continuum mechanics; application of I–d diagram and the rules of construction of heat and humidity air treatment; principles of operation and design of ventilation equipment; sanitary and hygienic bases of ventilation design. …”
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Tectonophysical model of the tectonic earthquake focus by @ Bornyakov, Sergey A., Dobrynina, Anna A., Panteleev, Ivan A., Sankov, Vladimir A., Salko, Denis V., Vstovsky, Grigory V., Miroshnichenko, Andrey I., Shagun, Artem N., Sintsov, Andrey E., Karimova, Anastasia A.

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Numerical simulation with hyperelastic constitutive model for high-performance multifilaments used in offshore mooring ropes by Daniel Magalhães da Cruz, Tales Luiz Popiolek Júnior, Marcelo de Ávila Barreto, Stephane Pires de Souza, Larissa Basei Zangalli, Aleones José da Cruz Júnior, Taline Carvalho Martins, Ana Lúcia Nazareth da Silva, Ivan Napoleão Bastos, Carlos Eduardo Marcos Guilherme

“…In this study, advanced simulation methods are employed using concepts from continuum mechanics and solid mechanics, coupled with a hyperelastic model. …”
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