A5049356250- Numerical methods in engineering
- Electromagnetic Simulation and Numerical Methods
- Magnesium Alloys: Properties and Applications
- Geotechnical Engineering and Underground Structures
- Fatigue and fracture mechanics
- Aluminum Alloy Microstructure Properties
- Microstructure and mechanical properties
- Dental Erosion and Treatment
- Bone Tissue Engineering Materials
- Orthopaedic implants and arthroplasty
- Access Control and Trust
- Material Properties and Failure Mechanisms
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Scattering and Analysis
- Aluminum Alloys Composites Properties
- Dental materials and restorations
- Metal Forming Simulation Techniques
- Model Reduction and Neural Networks
- Cryptography and Data Security
- Dental Anxiety and Anesthesia Techniques
Helmholtz-Zentrum Hereon
2020-2024
This paper proposes a computational framework to describe the biodegradation of magnesium (Mg)-based bone implants. It is based on sequential combination two models: an electrochemical corrosion model compute mass loss implant over several weeks combined with mechanical assess its residual strength. The first uses peridynamic (PD) tackle complex moving boundary corroding material in efficient manner. results this simulation are mapped finite element (FE) by way damage variable. Subsequently,...
Abstract Peridynamic (PD) models are commonly implemented by exploiting a particle-based method referred to as standard scheme. Compared numerical methods based on classical theories (e.g., the finite element method), PD using meshfree scheme typically computationally more expensive mainly for two reasons. First, nonlocal nature of requires advanced quadrature schemes. Second, non-uniform discretizations inaccurate and thus avoided. Hence, very fine uniform applied in whole domain even cases...
Abstract Diffusion-type problems in (nearly) unbounded domains play important roles various fields of fluid dynamics, biology, and materials science. The aim this paper is to construct accurate absorbing boundary conditions (ABCs) suitable for classical (local) as well nonlocal peridynamic (PD) diffusion models. main focus the present study on PD formulation. majority models proposed so far are applied bounded only. In study, we propose an effective way handle both with For former, employ a...
Abstract Construction of absorbing boundary conditions (ABCs) for nonlocal models is generally challenging, primarily due to the fact that operators are commonly associated with volume constrained conditions. Moreover, application Fourier and Laplace transforms, which essential majority available methods ABCs, complicated. In this paper, we propose a simple method construct accurate ABCs peridynamic scalar wave‐type problems in viscous media. The proposed constructed time space domains...
A C T Magnesium is attractive for the application as a temporary bone implant due to its inherent biodegradability, non-toxicity and suitable mechanical properties.The degradation process of magnesium in physiological environments complex thought be diffusion-limited transport problem.We use multi-scale imaging approach using micro computed tomography transmission X-ray microscopy (TXM) at resolutions below 40 nm.Thus, we are able evaluate nanoporosity layer infer impact on pure two...
Magnesium (Mg) and its alloys are promising materials for temporary bone implants due to their mechanical properties biocompatibility. The most challenging aspect of Mg-based involves adapting the degradation rate human body, which requires extensive in vitro vivo testing. Given that tests significantly more labour-intensive than ethics prohibit direct experiments on animals or humans, attempts commonly undertaken infer conclusions behavior from experiments. However, there is a wide gap...
Abstract This paper provides a comprehensive derivation and application of the nonlocal Nernst-Planck-Poisson (NNPP) system for accurate modeling electrochemical corrosion with focus on biodegradation magnesium-based implant materials under physiological conditions. The NNPP extends generalizes peridynamic bi-material model by considering transport multiple ionic species due to electromigration. As in model, naturally accounts moving boundaries dissolution solid metallic liquid electrolyte...
Abstract Magnesium and its alloys attract increasingly wide attention in various fields, ranging from transport to medical solutions, due their outstanding structural degradation properties. These properties can be tailored through alloying thermo-mechanical processing, which is often complex multi-step, thus requiring in-depth analysis. In this work, we demonstrate the capability of synchrotron-based nanotomographic X-ray imaging methods, namely holotomography transmission microscopy, for...
This paper provides a comprehensive derivation and application of the nonlocal Nernst-Planck-Poisson (NNPP) system for accurate modeling electrochemical corrosion with focus on biodegradation magnesium-based implant materials under physiological conditions. The NNPP extends generalizes peridynamic bi-material model by considering transport multiple ionic species due to electromigration. As in model, naturally accounts moving boundaries dissolution solid metallic liquid electrolyte as part...
We describe a design for an L2 ledger with enshrined dispute resolution oracle. Contracts deployed on the benefit from oracles and governance arbitration backstopped by ability, in extremis, to fork entire which they are running. Decisions about assets issued forkable "subjectivocratic" security. Tokens bridged other ledgers can also be managed, albeit economic security bound. representing Real-World Assets same way, or extending trust users already place their issuer.