Special Issue "Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister"
Submission Deadline: 15 June 2021 (closed)
To celebrate the 95th birthday of Professor Karl Stark Pister"
Submission Deadline: 15 June 2021 (closed)
Guest Editors
Prof. Loc Vu-Quoc, University of Illinois at Urbana-Champaign, USA
Prof. Shaofan Li, University of California-Berkeley, USA
Prof. Shaofan Li, University of California-Berkeley, USA
Summary
To celebrate the 95th birthday of Professor Karl Stark Pister, we invite some of Professor Pister’s former students, friends and colleagues to contribute a paper to a special issue in the Computer Modeling in Engineering & Sciences (CMES) (The authors of the special issue are invited only).
To reflect the contributions of Prof. Pister’s academic career, the theme of the special issue is the advances in Computational Mechanics and Optimization.
The deadline for the submission is set as 2021 Mar 31, and it will accommodate some requests to extend the deadline in this special time.
Published Papers
- OPEN ACCESS EDITORIAL
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Celebrating the 95th birthday of Professor Karl S. Pister
Editors’ introduction - CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.018780
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract This article has no abstract. More
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Downloads:19
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- OPEN ACCESS ARTICLE
- Model Reduction by Generalized Falk Method for Efficient Field-Circuit Simulations
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.016784
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract The Generalized Falk Method (GFM) for coordinate transformation, together with two model-reduction strategies based on this method, are presented for efficient coupled field-circuit simulations. Each model-reduction strategy is based on a decision to retain specific linearly-independent vectors, called trial vectors, to construct a vector basis for coordinate transformation. The reduced-order models are guaranteed to be stable and passive since the GFM is a congruence transformation of originally symmetric positive definite systems. We also show that, unlike the Pad´e-via-Lanczos (PVL) method, the GFM does not generate unstable positive poles while reducing the order of circuit problems. Further, the proposed GFM is… More
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- OPEN ACCESS ARTICLE
- A Hybrid Immersed Boundary/Coarse-Graining Method for Modeling Inextensible Semi-Flexible Filaments in Thermally Fluctuating Fluids
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017404
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract A new and computationally efficient version of the immersed boundary method, which is combined with the coarse-graining method, is introduced for modeling inextensible filaments immersed in low-Reynolds number flows. This is used to represent actin biopolymers, which are constituent elements of the cytoskeleton, a complex network-like structure that plays a fundamental role in shape morphology. An extension of the traditional immersed boundary method to include a stochastic stress tensor is also proposed in order to model the thermal fluctuations in the fluid at smaller scales. By way of validation, the response of a single, massless, inextensible semiflexible filament immersed in… More
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Views:305
Downloads:126
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- OPEN ACCESS ARTICLE
- Clinical Data-Driven Finite Element Analysis of the Kinetics of Chewing Cycles in Order to Optimize Occlusal Reconstructions
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017422
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract The occlusal design plays a decisive role in the fabrication of dental restorations. Dentists and dental technicians depend on mechanical simulations of mandibular movement that are as accurate as possible, in particular, to produce interference-free yet chewing-efficient dental restorations. For this, kinetic data must be available, i.e., movements and deformations under the influence of forces and stresses. In the present study, so-called functional data were collected from healthy volunteers to provide consistent information for proper kinetics. For the latter purpose, biting and chewing forces, electrical muscle activity and jaw movements were registered synchronously, and individual magnetic resonance tomograms (MRI) were… More
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Views:326
Downloads:124
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- OPEN ACCESS ARTICLE
- Isogeometric Collocation: A Mixed Displacement-Pressure Method for Nearly Incompressible Elasticity
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.016832
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract We investigate primal and mixed u−p isogeometric collocation methods for application to nearly-incompressible isotropic elasticity. The primal method employs Navier’s equations in terms of the displacement unknowns, and the mixed method employs both displacement and pressure unknowns. As benchmarks for what might be considered acceptable accuracy, we employ constant-pressure Abaqus finite elements that are widely used in engineering applications. As a basis of comparisons, we present results for compressible elasticity. All the methods were completely satisfactory for the compressible case. However, results for low-degree primal methods exhibited displacement locking and in general deteriorated in the nearly-incompressible case. The results for… More
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Views:550
Downloads:217
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- OPEN ACCESS ARTICLE
- Effective Elastic Properties of 3-Phase Particle Reinforced Composites with Randomly Dispersed Elastic Spherical Particles of Different Sizes
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017589
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract Higher-order multiscale structures are proposed to predict the effective elastic properties of 3-phase particle reinforced composites by considering the probabilistic spherical particles spatial distribution, the particle interactions, and utilizing homogenization with ensemble volume average approach. The matrix material, spherical particles with radius a1, and spherical particles with radius a2, are denoted as the 0th phase, the 1st phase, and the 2nd phase, respectively. Particularly, the two inhomogeneity phases are different particle sizes and the same elastic material properties. Improved higher-order (in ratio of spherical particle sizes to the distance between the centers of spherical particles) bounds on effective elastic properties… More
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Views:441
Downloads:165
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- OPEN ACCESS ARTICLE
- Reduced Order Machine Learning Finite Element Methods: Concept, Implementation, and Future Applications
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017719
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract This paper presents the concept of reduced order machine learning finite element (FE) method. In particular, we propose an example of such method, the proper generalized decomposition (PGD) reduced hierarchical deeplearning neural networks (HiDeNN), called HiDeNN-PGD. We described first the HiDeNN interface seamlessly with the current commercial and open source FE codes. The proposed reduced order method can reduce significantly the degrees of freedom for machine learning and physics based modeling and is able to deal with high dimensional problems. This method is found more accurate than conventional finite element methods with a small portion of degrees of freedom. Different… More
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Views:1007
Downloads:277
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- OPEN ACCESS ARTICLE
- Fluid and Osmotic Pressure Balance and Volume Stabilization in Cells
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017740
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract A fundamental problem for cells with their fragile membranes is the control of their volume. The primordial solution to this problem is the active transport of ions across the cell membrane to modulate the intracellular osmotic pressure. In this work, a theoretical model of the cellular pump-leak mechanism is proposed within the general framework of linear nonequilibrium thermodynamics. The model is expressed with phenomenological equations that describe passive and active ionic transport across cell membranes, supplemented by an equation for the membrane potential that accounts for the electrogenicity of the ionic pumps. For active ionic transport, the model predicts that… More
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Views:456
Downloads:178
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- OPEN ACCESS ARTICLE
- Matrix-Free Higher-Order Finite Element Method for Parallel Simulation of Compressible and Nearly-Incompressible Linear Elasticity on Unstructured Meshes
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017476
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract Higher-order displacement-based finite element methods are useful for simulating bending problems and potentially addressing mesh-locking associated with nearly-incompressible elasticity, yet are computationally expensive. To address the computational expense, the paper presents a matrix-free, displacement-based, higher-order, hexahedral finite element implementation of compressible and nearly-compressible (ν → 0.5) linear isotropic elasticity at small strain with p-multigrid preconditioning. The cost, solve time, and scalability of the implementation with respect to strain energy error are investigated for polynomial order p = 1, 2, 3, 4 for compressible elasticity, and p = 2, 3, 4 for nearly-incompressible elasticity, on different number of CPU cores for… More
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Views:449
Downloads:170
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- OPEN ACCESS ARTICLE
- Ideal Drift Response Curve for Robust Optimal Damper Design for Elastic-Plastic MDOF Structures under Multi-Level Earthquakes
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.017204
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract A new method of robust damper design is presented for elastic-plastic multi-degree-of-freedom (MDOF) building structures under multi-level ground motions (GMs). This method realizes a design that is effective for various levels of GMs. The robustness of a design is measured by an incremental dynamic analysis (IDA) curve and an ideal drift response curve (IDRC). The IDRC is a plot of the optimized maximum deformation under a constraint on the total damper quantity vs. the design level of the GMs. The total damper quantity corresponds to the total cost of the added dampers. First, a problem of generation of IDRCs is… More
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Views:584
Downloads:232
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- OPEN ACCESS ARTICLE
- Geometrically-Compatible Dislocation Pattern and Modeling of Crystal Plasticity in Body-Centered Cubic (BCC) Crystal at Micron Scale
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.016756
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract The microstructure of crystal defects, e.g., dislocation patterns, are not arbitrary, and it is possible that some of them may be related to the microstructure of crystals itself, i.e., the lattice structure. We call those dislocation patterns or substructures that are related to the corresponding crystal microstructure as the Geometrically Compatible Dislocation Patterns (GCDP). Based on this notion, we have developed a Multiscale Crystal Defect Dynamics (MCDD) to model crystal plasticity without or with minimum empiricism. In this work, we employ the multiscale dislocation pattern dynamics, i.e., MCDD, to simulate crystal plasticity in body-centered cubic (BCC) single crystals, mainly α-phase… More
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Views:500
Downloads:195
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- OPEN ACCESS ARTICLE
- Virtual Element Formulation for Finite Strain Elastodynamics
- CMES-Computer Modeling in Engineering & Sciences, DOI:10.32604/cmes.2021.016851
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（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister) - Abstract The virtual element method (VEM) can be seen as an extension of the classical finite element method (FEM) based on Galerkin projection. It allows meshes with highly irregular shaped elements, including concave shapes. So far the virtual element method has been applied to various engineering problems such as elasto-plasticity, multiphysics, damage and fracture mechanics. This work focuses on the extension of the virtual element method to efficient modeling of nonlinear elasto-dynamics undergoing large deformations. Within this framework, we employ low-order ansatz functions in two and three dimensions for elements that can have arbitrary polygonal shape. The formulations considered in this… More
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Views:763
Downloads:322
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