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Advances in Computational Mechanics and Optimization
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

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

A biographical timeline of Professor Karl Pister
Mark Austin, Loc Vu-Quoc
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1523-1529, 2021, DOI:10.32604/cmes.2021.019683
（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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876
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EDITORIAL

Supplements
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1505-1522, 2021, DOI:10.32604/cmes.2021.019500
（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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965
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EDITORIAL

A memory lane
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1489-1504, 2021, DOI:10.32604/cmes.2021.019434
（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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1064

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869
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EDITORIAL

Part 3 - Memory lane - On friendship
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1487-1488, 2021, DOI:10.32604/cmes.2021.019388
（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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1108

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840
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ARTICLE

Model Reduction by Generalized Falk Method for Efficient Field-Circuit Simulations
Loc Vu-Quoc, Yuhu Zhai and Khai D. T. Ngo
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1441-1486, 2021, DOI:10.32604/cmes.2021.016784
（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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1043
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ARTICLE

Geometrically-Compatible Dislocation Pattern and Modeling of Crystal Plasticity in Body-Centered Cubic (BCC) Crystal at Micron Scale
Yuxi Xie, Shaofan Li
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1419-1440, 2021, DOI:10.32604/cmes.2021.016756
（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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ARTICLE

The Lu-Pister Multiplicative Decomposition Applied to Thermoelastic Geometrically-Exact Rods
Alexander Humer and Hans Irschik
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1395-1417, 2021, DOI:10.32604/cmes.2021.017944
（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 addresses the application of the continuum mechanics-based multiplicative decomposition for thermohyperelastic materials by Lu and Pister to Reissner’s structural mechanics-based, geometrically exact theory for finite strain plane deformations of beams, which represents a geometrically consistent non-linear extension of the linear shear-deformable Timoshenko beam theory. First, the Lu-Pister multiplicative decomposition of the displacement gradient tensor is reviewed in a three-dimensional setting, and the importance of its main consequence is emphasized, i.e., the fact that isothermal experiments conducted over a range of constant reference temperatures are sufficient to identify constitutive material parameters in the stress-strain relations. We address various isothermal… More >

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667
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ARTICLE

A Meshless and Matrix-Free Approach to Modeling Turbulent Fluid Flow
Matthew Wilkinson, Javier Villarreal, Andrew Meade
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1373-1393, 2021, DOI:10.32604/cmes.2021.017883
（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 meshless and matrix-free fluid dynamics solver (SOMA) is introduced that avoids the need for user generated and/or analyzed grids, volumes, and meshes. Incremental building of the approximation avoids creation and inversion of possibly dense block diagonal matrices and significantly reduces user interaction. Validation results are presented from the application of SOMA to subsonic, compressible, and turbulent flow over an adiabatic flat plate. More >

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770
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ARTICLE

Reduced Order Machine Learning Finite Element Methods: Concept, Implementation, and Future Applications
Ye Lu, Hengyang Li, Sourav Saha, Satyajit Mojumder, Abdullah Al Amin, Derick Suarez, Yingjian Liu, Dong Qian, Wing Kam Liu
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1351-1371, 2021, DOI:10.32604/cmes.2021.017719
（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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2709

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1115
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ARTICLE

Fluid and Osmotic Pressure Balance and Volume Stabilization in Cells
Peter M. Pinsky
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1329-1350, 2021, DOI:10.32604/cmes.2021.017740
（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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1657

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826
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ARTICLE

Effective Elastic Properties of 3-Phase Particle Reinforced Composites with Randomly Dispersed Elastic Spherical Particles of Different Sizes
Yu-Fu Ko, Jiann-Wen Woody Ju
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1305-1328, 2021, DOI:10.32604/cmes.2021.017589
（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 0^th phase, the 1^st phase, and the 2^nd 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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1634

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849
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ARTICLE

Matrix-Free Higher-Order Finite Element Method for Parallel Simulation of Compressible and Nearly-Incompressible Linear Elasticity on Unstructured Meshes
Arash Mehraban, Henry Tufo, Stein Sture, Richard Regueiro
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1283-1303, 2021, DOI:10.32604/cmes.2021.017476
（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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1604

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802
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ARTICLE

Clinical Data-Driven Finite Element Analysis of the Kinetics of Chewing Cycles in Order to Optimize Occlusal Reconstructions
Simon Martinez, Jürgen Lenz, Hans Schindler, Willi Wendler, Stefan Rues, Karl Schweizerhof, Sophia Terebesi, Nikolaos Nikitas Giannakopoulos, Marc Schmitter
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1259-1281, 2021, DOI:10.32604/cmes.2021.017422
（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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1558

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832
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ARTICLE

A Hybrid Immersed Boundary/Coarse-Graining Method for Modeling Inextensible Semi-Flexible Filaments in Thermally Fluctuating Fluids
Magdalini Ntetsika, Panayiotis Papadopoulos
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1243-1258, 2021, DOI:10.32604/cmes.2021.017404
（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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1550

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807
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ARTICLE

Mass-Stiffness Templates for Cubic Structural Elements
Carlos A. Felippa
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1209-1241, 2021, DOI:10.32604/cmes.2021.016803
（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 considers Lagrangian finite elements for structural dynamics constructed with cubic displacement shape functions. The method of templates is used to investigate the construction of accurate mass-stiffness pairs. This method introduces free parameters that can be adjusted to customize elements according to accuracy and rank-sufficiency criteria. One- and two-dimensional Lagrangian cubic elements with only translational degrees of freedom (DOF) carry two additional nodes on each side, herein called side nodes or SN. Although usually placed at the third-points, the SN location may be adjusted within geometric limits. The adjustment effect is studied in detail using symbolic computations for a… More >

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1104

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623
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ARTICLE

Ideal Drift Response Curve for Robust Optimal Damper Design for Elastic-Plastic MDOF Structures under Multi-Level Earthquakes
Hiroki Akehashi, Izuru Takewaki
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1181-1207, 2021, DOI:10.32604/cmes.2021.017204
（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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ARTICLE

Virtual Element Formulation for Finite Strain Elastodynamics
Mertcan Cihan, BlaŽ Hudobivnik, Fadi Aldakheel, Peter Wriggers
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1151-1180, 2021, DOI:10.32604/cmes.2021.016851
（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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2367

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1040
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ARTICLE

Isogeometric Collocation: A Mixed Displacement-Pressure Method for Nearly Incompressible Elasticity
S. Morganti, F. Fahrendorf, L. De Lorenzis, J. A. Evans, T. J. R. Hughes and A. Reali
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1125-1150, 2021, DOI:10.32604/cmes.2021.016832
（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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871
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EDITORIAL

Part 2-Technical papers
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1123-1123, 2021, DOI:10.32604/cmes.2021.019387
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract More >

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594
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EDITORIAL

Part 1 - Biography and tributes
Mark Austin, Thomas J.R. Hughes, Pamela Eibeck, Darryll Pines, Alice Agogino, J. Tinsley Oden, Lola Martin-Atilano, Billie Greene, Stein Sture, Constance Lütolf-Carroll, Ekkehard Ramm, Paula Hawthorn, Barbara Simons, Antoinette Torres, Carlos Felippa, Brant Smith, Peter Pinsky, Gary May, Sheila Humphreys, Loc Vu-Quoc
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1077-1122, 2021, DOI:10.32604/cmes.2021.018838
（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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868
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EDITORIAL

Editors’ introduction
Loc Vu-Quoc and Shaofan Li
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1075-1075, 2021, DOI:10.32604/cmes.2021.018780
（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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683

Advances in Computational Mechanics and OptimizationTo celebrate the 95th birthday of Professor Karl Stark Pister

Guest Editors

Summary

Published Papers

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876

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1040

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965

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1064

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869

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1108

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840

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1487

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1043

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1834

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1240

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1

Cited by

1

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1173

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667

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1236

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770

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2709

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1115

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1657

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826

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1634

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849

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1604

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802

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1558

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832

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1550

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807

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1104

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623

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1775

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947

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1

Cited by

1

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2367

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1040

Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister