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The elastic moduli, elastic anisotropy coefficients, sound velocities and Poisson's ratio of hcp solid helium have been calculated using density functional theory in generalized gradient approximation (up to $30$ TPa), and pair+triple…

其他凝聚态物理 · 物理学 2015-06-19 A. Grechnev , S. M. Tretyak , Yu. A. Freiman , Alexander F. Goncharov , Eugene Gregoryanz

In this work, we bridge standard adaptive mesh refinement and coarsening on scalable octree background meshes and robust unfitted finite element formulations for the automatic and efficient solution of large-scale nonlinear solid mechanics…

数值分析 · 数学 2021-09-01 Santiago Badia , Manuel Caicedo , Alberto F. Martín , Javier Principe

While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D-printed structures, are anisotropic, as are most industrial…

软凝聚态物质 · 物理学 2021-05-25 H. G. Wood , J. A. Hanna

We generalize the hard-thermal-loop effective action of the equilibrium quark-gluon plasma to a non-equilibrium system which is space-time homogeneous but for which the parton momentum distribution is anisotropic. We show that the…

高能物理 - 唯象学 · 物理学 2009-11-10 Stanislaw Mrowczynski , Anton Rebhan , Michael Strickland

The goal of the current work is to explore direction-dependent damage initiation and propagation within an arbitrary anisotropic solid. In particular, we aim at developing anisotropic cohesive phase-field (PF) damage models by extending the…

计算工程、金融与科学 · 计算机科学 2022-05-23 Shahed Rezaei , Ali Harandi , Tim Brepols , Stefanie Reese

A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction…

数值分析 · 数学 2015-10-30 Gautam Munglani , Roman Vetter , Falk K. Wittel , Hans J. Herrmann

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

计算工程、金融与科学 · 计算机科学 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

We extend the DeTurck trick from the classical isotropic curve shortening flow to the anisotropic setting. Here the anisotropic energy density is allowed to depend on space, which allows an interpretation in the context of Finsler metrics,…

数值分析 · 数学 2023-12-13 Klaus Deckelnick , Robert Nürnberg

Perpendicular magnetic anisotropy (PMA) in ultrathin magnetic structures is a key ingredient for the development of electrically controlled spintronic devices. Due to their relatively large spin-polarization, high Curie temperature and low…

材料科学 · 物理学 2019-10-30 M. S. Gabor , M. Nasui , A. Timar-Gabor

All hydrodynamical simulations of turbulent astrophysical phenomena require sub-grid scale models to properly treat energy dissipation and metal mixing. We present the first implementation and application of an anisotropic eddy viscosity…

星系天体物理 · 物理学 2021-07-02 Douglas Rennehan

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

Plastic anisotropy in metals remains challenging to model. This is partly because conventional phenomenological yield criteria struggle to combine a highly descriptive, flexible representation with constraints, such as convexity, dictated…

计算工程、金融与科学 · 计算机科学 2025-08-25 Asghar A. Jadoon , Ravi G. Patel , Brian N. Granzow , Reese E. Jones , D. Thomas Seidl , Jan N. Fuhg

This paper introduces a material-aware strength-of-connection measure for smoothed aggregation algebraic multigrid methods, aimed at improving robustness for scalar partial differential equations with heterogeneous and anisotropic material…

计算工程、金融与科学 · 计算机科学 2026-02-06 Max Firmbach , Malachi Phillips , Christian Glusa , Alexander Popp , Christopher M. Siefert , Matthias Mayr

We derive an asymptotically consistent morphoelastic shell model to describe the finite deformations of biological tissues using the variational asymptotical method. Biological materials may exhibit remarkable compressibility when under…

软凝聚态物质 · 物理学 2024-07-23 Xiang Yu , Xiaoyi Chen

Hydrogels of semiflexible biopolymers such as collagen have been shown to contract axially under shear strain, in contrast to the axial dilation observed for most elastic materials. Recent work has shown that this behavior can be understood…

软凝聚态物质 · 物理学 2019-05-13 Jordan Shivers , Jingchen Feng , Abhinav Sharma , Fred C. MacKintosh

In high intensity focused ultrasound (HIFU) systems using non-ionizing methods in cancer treatment, if the device is applied to the body externally, the HIFU beam can damage nearby healthy tissues and burn skin due to lack of knowledge…

Modelling of mechanical behaviour of pre-stressed fibre-reinforced composites is considered in a geometrically exact setting. A general approach which includes two different reference configurations is employed: one configuration…

计算工程、金融与科学 · 计算机科学 2021-03-15 I. I. Tagiltsev , A. V. Shutov

There has been increasing experimental evidence of non-affine elastic deformation mechanisms in biological soft tissues. These observations call for novel constitutive models which are able to describe the dominant underlying…

计算物理 · 物理学 2021-03-04 Sebastian Skatulla , Carlo Sansour , Georges Limbert

We apply physics-augmented neural network (PANN) constitutive models to experimental uniaxial tensile data of rubber-like materials whose behavior depends on manufacturing parameters. For this, we conduct experimental investigations on a 3D…

计算工程、金融与科学 · 计算机科学 2025-01-07 Dominik K. Klein , Mokarram Hossain , Konstantin Kikinov , Maximilian Kannapinn , Stephan Rudykh , Antonio J. Gil

A common approach for generating an anisotropic mesh is the M-uniform mesh approach where an adaptive mesh is generated as a uniform one in the metric specified by a given tensor M. A key component is the determination of an appropriate…

数值分析 · 数学 2012-10-11 Lennard Kamenski