Practical Multiscaling

✅ Practical Multiscaling covers 📔 fundamental modelling techniques aimed at bridging diverse temporal and ➕ spatial scales 👨‍⚖️ ranging from the atomic ⚛️ level 🎚️ to a full 🌝-scale ⚖️ product level 🎚️. It focuses on practical multiscale methods that account for fine-scale ⚖️ (material) details but do not ❌️ require their precise resolution. The text material evolved from over 2️⃣0️⃣ years of teaching experience at Rensselaer and ➕ Columbia University, as well as from practical experience gained in the application of multiscale software 👨‍💻️. This book 📚️ comprehensively covers 📔 theory and ➕ implementation, providing a detailed exposition of the state-of-the-art 🎨 multiscale theories and ➕ their insertion into conventional (single-scale ⚖️) finite element code architecture. The robustness and ➕ design aspects of multiscale methods are also emphasised, which is accomplished via four 4️⃣ building 🏢 blocks: upscaling of information ℹ️, systematic reduction of information ℹ️, characterization of information ℹ️ utilizing experimental 🥼 data, and ➕ material optimization. To ensure the reader gains hands ✋-on experience, a companion website hosting a lite version of the multiscale design software 👨‍💻️ (MDS-Lite) is available. Key 🔑 features: Combines fundamental theory and ➕ practical methods of multiscale modelling Covers 📔 the state-of-the-art 🎨 multiscale theories and ➕ examines their practical usability in design Covers 📔 applications of multiscale methods Accompanied by a continuously updated website hosting the multiscale design software 👨‍💻️ Illustrated with colour images Practical Multiscaling is an ideal textbook for graduate 👨‍🎓️ students 👨‍🎓️ studying multiscale science 🧪 and ➕ engineering 👨‍🔬. It is also a must-have reference for government laboratories, researchers and ➕ practitioners in civil, aerospace, pharmaceutical, electronics, and ➕ automotive industries 👨‍🏭️, and ➕ commercial software 👨‍💻️ vendors.

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