Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study. [PDF]
Comput Mech, 2020 The outbreak of COVID-19 in 2020 has led to a surge in interest in the research of the mathematical modeling of epidemics. Many of the introduced models are so-called compartmental models, in which the total quantities characterizing a certain system may
Viguerie A +9 more
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From quantum to continuum mechanics in the delamination of atomically-thin layers from substrates. [PDF]
Nat Commun, 2020 Anomalous proximity effects have been observed in adhesive systems ranging from proteins, bacteria, and gecko feet suspended over semiconductor surfaces to interfaces between graphene and different substrate materials.
Hauseux P +5 more
europepmc +2 more sources
General Non-Local Continuum Mechanics: Derivation of Balance Equations
Mathematics, 2022 In this paper, mechanics of continuum with general form of nonlocality in space and time is considered. Some basic concepts of nonlocal continuum mechanics are discussed. General fractional calculus (GFC) and general fractional vector calculus (GFVC) are
V. E. Tarasov
semanticscholar +1 more source
High Order ADER Schemes for Continuum Mechanics [PDF]
Frontiers of Physics, 2019 In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999 by Toro et al.
S. Busto +4 more
semanticscholar +1 more source
Numerical and experimental investigation of multi-species bacterial co-aggregation
Scientific Reports, 2023 This paper deals with the mathematical modeling of bacterial co-aggregation and its numerical implementation in a FEM framework. Since the concept of co-aggregation refers to the physical binding between cells of different microbial species, a system ...
Meisam Soleimani +6 more
doaj +1 more source
Multilayer 3D bioprinting and complex mechanical properties of alginate-gelatin mesostructures
Scientific Reports, 2023 In the biomedical field, extrusion-based 3D bioprinting has emerged as a promising technique to fabricate tissue replacements. However, a main challenge is to find suitable bioinks and reproducible procedures that ensure good printability and generate ...
Anahita Ahmadi Soufivand +3 more
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From continuum mechanics to general relativity [PDF]
, 2014 Using ideas from continuum mechanics we construct a theory of gravity. We show that this theory is equivalent to Einstein's theory of general relativity; it is also a much faster way of reaching general relativity than the conventional route.
Boehmer, Christian G., Downes, Robert J.
core +3 more sources
On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion [PDF]
E3S Web of Conferences, 2019 The paper concerns 2D problem of an elastic thick-walled pipe with an initial thickness variation, subjected to internal pressure and mechanochemical corrosion. The inner perimeter of the pipe cross-section is elliptical, while the outer is circular. The
Zhao Shixiang, Pronina Yulia
doaj +1 more source
Mathematics, 2023 A mathematical model has been developed and a numerical study of vapor bubble growth as a result of acoustic evaporation of an encapsulated perfluorocarbon droplet in a viscoelastic liquid is presented.
Damir A. Gubaidullin +2 more
doaj +1 more source
Investigations of Cruciform Specimen Designs for Biaxial Tensile Testing of SMC
Proceedings, 2018 This proceedings paper presents the investigation of different cruciform specimen designs for the characterization of Sheet Molding Compounds under biaxial loading. Biaxial tensile tests allow the investigation of damage evolution under multiaxial stress
Juliane Lang +3 more
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