By Shaofan Li, Dong Qian
Multiscale Simulations and Mechanics of organic fabrics
A compilation of contemporary advancements in multiscale simulation and computational biomaterials written by way of prime experts within the field
Presenting the newest advancements in multiscale mechanics and multiscale simulations, and providing a distinct standpoint on multiscale modelling of organic fabrics, this booklet outlines the newest advancements in computational organic fabrics from atomistic and molecular scale simulation on DNA, proteins, and nano-particles, to meoscale delicate subject modelling of cells, and to macroscale tender tissue and blood vessel, and bone simulations. routinely, computational biomaterials researchers come from organic chemistry and biomedical engineering, so this is often most likely the 1st edited publication to give paintings from those gifted computational mechanics researchers.
The ebook has been written to honor Professor Wing Liu of Northwestern college, united states, who has made pioneering contributions in multiscale simulation and computational biomaterial in particular simulation of drag supply at atomistic and molecular scale and computational cardiovascular fluid mechanics through immersed finite point method.
Key features:
- Offers a distinct interdisciplinary method of multiscale biomaterial modelling geared toward either available introductory and complex levels
- Presents a breadth of computational ways for modelling organic fabrics throughout a number of size scales (molecular to whole-tissue scale), together with strong and fluid dependent approaches
- A significant other web site for supplementary fabrics plus hyperlinks to participants’ web pages (www.wiley.com/go/li/multiscale)
Content:
Chapter 1 Atomistic?to?Continuum Coupling equipment for warmth move in Solids (pages 3–20): Gregory J. Wagner
Chapter 2 exact Boundary remedies for Concurrent Multiscale Simulations (pages 21–42): Shaoqiang Tang
Chapter three A Multiscale Crystal illness Dynamics and Its purposes (pages 43–58): Lisheng Liu and Shaofan Li
Chapter four program of Many?Realization Molecular Dynamics solution to comprehend the Physics of Nonequilibrium strategies in Solids (pages 59–76): Yao Fu and Albert C. To
Chapter five Multiscale, Multiphysics Modeling of Electromechanical Coupling in Surface?Dominated Nanostructures (pages 77–98): Harold S. Park and Michel Devel
Chapter 6 in the direction of a common goal layout procedure for Composites (pages 99–115): Jacob Fish
Chapter 7 Patient?Specific Computational Fluid Mechanics of Cerebral Arteries with Aneurysm and Stent (pages 119–147): Kenji Takizawa, Kathleen Schjodt, Anthony Puntel, Nikolay Kostov and Tayfun E. Tezduyar
Chapter eight software of Isogeometric research to Simulate neighborhood Nanoparticulate Drug supply in Patient?Specific Coronary Arteries (pages 149–167): Shaolie S. Hossain and Yongjie Zhang
Chapter nine Modeling and quick Simulation of High?Frequency Scattering Responses of mobile teams (pages 169–191): Tarek Ismail Zohdi
Chapter 10 Electrohydrodynamic meeting of Nanoparticles for Nanoengineered Biosensors (pages 193–206): Jae?Hyun Chung, Hyun?Boo Lee and Jong?Hoon Kim
Chapter eleven developments within the Immersed Finite?Element technique and Bio?Medical functions (pages 207–218): Lucy Zhang, Xingshi Wang and Chu Wang
Chapter 12 Immersed equipment for Compressible Fluid–Solid Interactions (pages 219–237): Xiaodong Sheldon Wang
Chapter thirteen The function of the Cortical Membrane in phone Mechanics: version and Simulation (pages 241–265): Louis Foucard, Xavier Espinet, Eduard Benet and Franck J. Vernerey
Chapter 14 position of Elastin in Arterial Mechanics (pages 267–281): Yanhang Zhang and Shahrokh Zeinali?Davarani
Chapter 15 Characterization of Mechanical houses of organic Tissue: software to the FEM research of the Urinary Bladder (pages 283–300): Eugenio Onate, Facundo J. Bellomo, Virginia Monteiro, Sergio Oller and Liz G. Nallim
Chapter sixteen constitution layout of Vascular Stents (pages 301–317): Yaling Liu, Jie Yang, Yihua Zhou and Jia Hu
Chapter 17 functions of Meshfree equipment in specific Fracture and clinical Modeling (pages 319–331): Daniel C. Simkins
Chapter 18 layout of Dynamic and Fatigue?Strength?Enhanced Orthopedic Implants (pages 333–350): Sagar Bhamare, Seetha Ramaiah Mannava, Leonora Felon, David Kirschman, Vijay Vasudevan and Dong Qian
Chapter 19 Archetype mixing Continuum concept and Compact Bone Mechanics (pages 253–376): Khalil I. Elkhodary, Michael Steven Greene and Devin O'Connor
Chapter 20 Image?Based Multiscale Modeling of Porous Bone fabrics (pages 377–401): Judy P. Yang, Sheng?Wei Chi and Jiun?Shyan Chen
Chapter 21 Modeling Nonlinear Plasticity of Bone Mineral from Nanoindentation facts (pages 403–409): Amir Reza Zamiri and Suvranu De
Chapter 22 Mechanics of mobile fabrics and its functions (pages 411–434): Ji Hoon Kim, Daeyong Kim and Myoung?Gyu Lee
Chapter 23 Biomechanics of Mineralized Collagens (pages 435–447): Ashfaq Adnan, Farzad Sarker and Sheikh F. Ferdous
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Multiscale Simulations and Mechanics of Biological Materials
Multiscale Simulations and Mechanics of organic fabrics A compilation of contemporary advancements in multiscale simulation and computational biomaterials written via major experts within the fieldPresenting the newest advancements in multiscale mechanics and multiscale simulations, and delivering a different point of view on multiscale modelling of organic fabrics, this ebook outlines the newest advancements in computational organic fabrics from atomistic and molecular scale simulation on DNA, proteins, and nano-particles, to meoscale delicate subject modelling of cells, and to macroscale gentle tissue and blood vessel, and bone simulations.
Additional info for Multiscale Simulations and Mechanics of Biological Materials
Example text
There are various ways to compute c(t). The velocity interfacial condition for the nonlinear lattice is taken as follows: ⎡ ⎤ ⎡ −1/16 u˙ n b −2 ⎢ ⎥ ⎢ ⎣ u˙ n b −1 ⎦ = c(t) ⎣ 1/16 −5/16 u˙ n b 5/8 0 −5/8 −3/8 5/4 −5/8 13/8 −7/2 35/8 ⎡ ⎤⎢ 1/16 ⎢ ⎥⎢ −5/16 ⎦ ⎢ ⎢ ⎢ −35/16 ⎣ u n b −4 ⎤ u n b −3 ⎥ ⎥ ⎥ u n b −2 ⎥ ⎥. 7 agree well with the exact solution [13]. 4 Multiscale Simulations and Mechanics of Biological Materials MBCs: Matching the Dispersion Relation Noticing the linear form and locality in the velocity interfacial conditions, we may further consider a linear constraint of displacement and velocity at atoms near the boundary.
And Yip, S. (2000) Minimizing boundary reflections in coupled-domain simulations. Physical Review Letters, 85, 3213–3216. [3] Wagner, G. and Liu, W. (2003) Coupling of atomistic and continuum simulations using a bridging scale decomposition. Journal of Computational Physics, 190, 249–274. , and Liu, W. (2006) A mathematical framework of the bridging scale method. International Journal for Numerical Methods in Engineering, 65, 1688–1713. , and Liu, W. (2006) A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations.
For an accurate concurrent multiscale method, boundary treatments for the atomic subdomain are crucial and challenging. In the following, we present several accurate boundary treatments. We start with the time history kernel treatment, which is exact for infinite lattices with equilibrium state outside of the atomic subdomain. Then, for a finite lattice, we explore the wave propagation and obtain the precise expression of the kernel functions. Afterwards, we describe several more effective approaches.
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