The Eshelby problem refers to the response of a two-dimensional elastic sheet to cutting away a circle, deforming it into an ellipse, and pushing it back. The resulting response is dominated by the so-called Eshelby kernel, which was derived for purely elastic (infinite) material, but has been employed extensively to model the redistribution of stress after plastic events in amorphous solids with finite boundaries. Here, we discuss and solve the Eshelby problem directly for amorphous solids, taking into account possible screening effects and realistic boundary conditions. We find major modifications compared to the classical Eshelby solution. These modifications are needed for modeling correctly the spatial responses to plastic events in amorphous solids.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.110.L033001 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Uptake and Transpiration of Solid and Hollow SiO Nanoparticles by Terrestrial Plant (Apium Graveolens var. secalinum).
Chemosphere
January 2025
Department of Chemical and Biological Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR, China; Division of Environment and Sustainability, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong SAR, China; HKUST Shenzhen-Hong Kong Collaborative Innovation Research Institute, Futian, Shenzhen, Guangdong Province, China. Electronic address:
Recent studies have raised concerns about the potential toxicity of amorphous silica (SiO) nanoparticles (NPs). This investigation explores the uptake, transport, and transpiration of silica NPs in Apium graveolens var. secalinum.
View Article and Find Full Text PDFPreparation and mechanical performance of fluorite tailings geopolymer precursor under alkaline heat activation.
Sci Rep
January 2025
School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, 450045, People's Republic of China.
As one of the bulk solid wastes in the Yellow River basin in China, fluorite tailings urgently need to be utilized as resources. In this paper, NaOH and NaCO were used for alkali thermal activation of ground fluorite tailings under different temperature conditions, and the reactivity was analyzed by XRD, SEM and compressive strength after hydration, so as to evaluate the feasibility of fluorite tailings as geopolymer precursor. The results show that the fluorite tailings can exhibit certain reactivity under alkaline heat excitation, and significant amorphous glass phase can be detected.
View Article and Find Full Text PDFMelt electrowriting of amorphous solid dispersions: Influence of drug and plasticizer on rheology and printing performance.
Int J Pharm
January 2025
Soft Matter Chemistry, Department of Chemistry, and Helsinki Institute of Sustainability Science, Faculty of Science, University of Helsinki, PB55 00014 Helsinki, Finland. Electronic address:
Drug loaded microfiber scaffolds have potential for sublingual drug delivery due to their fast dissolution time and tunable porosity. Such microfiber scaffolds can be prepared by melt electrowriting (MEW), wherein a polymer melt is electrostatically drawn out of a syringe onto a computer controlled moving collector. The fabrication of such scaffolds via MEW has previously been shown for a polymer with a glass transition temperature (T) just above room temperature, making handling challenging.
View Article and Find Full Text PDFCreation of Long-Term Physical Stability of Amorphous Solid Dispersions N-Butyl-N-methyl-1-phenylpyrrolo[1,2-a]pyrazine-3-carboxamide, Resistant to Recrystallization Caused by Exposure to Moisture.
Materials (Basel)
January 2025
Institute of Pharmacy and Biotechnology, Peoples' Friendship University of Russia n.a. P. Lumumba (RUDN), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia.
Amorphous solid dispersion (ASD) technology is often used as a promising strategy to improve the solubility of active pharmaceutical ingredients (APIs). ASDs allow APIs to be dispersed at the molecular level in a polymer carrier, destroying the crystalline structure of the APIs and, thanks to the polymer, providing long-term supersaturation in solution. However, stability issues are an obstacle to the development of new medications with ASD.
View Article and Find Full Text PDFEffect of rPET Content and Preform Heating/Cooling Conditions in the Stretch Blow Molding Process on Microcavitation and Solid-State Post-Condensation of vPET-rPET Blend: Part II-Statistical Analysis and Interpretation of Tests.
Materials (Basel)
December 2024
Faculty of Physics and Astronomy, University of Wroclaw, 9 Maxa Born Square, 50-204 Wroclaw, Poland.
This research explores how varying proportions of virgin polyethylene terephthalate (vPET) and recycled polyethylene terephthalate (rPET) in vPET-rPET blends, combined with preform thermal conditions during the stretch blow molding (SBM) process, influence PET bottles' microscopic characteristics. Key metrics such as viscosity, density, crystallinity, amorphous phase relaxation, and microcavitation were assessed using response surface methodology (RSM). Statistical analysis, including Analysis of variance (ANOVA) and its power, supported the interpretation of results.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!