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20102026
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations

Showing 2023Show all

8 papers · 1 filter

cs.CE2023★ 21 cited

CAD-compatible structural shape optimization with a movable Bézier tetrahedral mesh

Jorge López, Cosmin Anitescu, Timon Rabczuk

This paper presents the development of a complete CAD-compatible framework for structural shape optimization in 3D. The boundaries of the domain are described using NURBS while the…

cs.CE2023★ 112 cited

Phase field method for quasi-static hydro-fracture in porous media under stress boundary condition considering the effect of initial stress field

Shuwei Zhou, Xiaoying Zhuang, Timon Rabczuk

Phase field model (PFM) is an efficient fracture modeling method and has high potential for hydraulic fracturing (HF). However, the current PFMs in HF do not consider well the effe…

physics.geo-ph2023★ 85 cited

Phase field modeling of hydraulic fracture propagation in transversely isotropic poroelastic media

Shuwei Zhou, Xiaoying Zhuang

This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fie…

math.NA2023★ 309 cited

Phase-field modeling of fluid-driven dynamic cracking in porous media

Shuwei Zhou, Xiaoying Zhuang, Timon Rabczuk

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium whi…

math.NA2023★ 7 cited

Isogeometric analysis of insoluble surfactant spreading on a thin film

David Medina, Navid Valizadeh, Esteban Samaniego +2

In this paper we tackle the problem of surfactant spreading on a thin liquid film in the framework of isogeometric analysis. We consider a mathematical model that describes this ph…

cs.CE2023★ 259 cited

Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation

Shuwei Zhou, Xiaoying Zhuang, Timon Rabczuk

Compressive-shear fracture is commonly observed in rock-like materials. However, this fracture type cannot be captured by current phase field models (PFMs), which have been proven…