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We obtain a cohesive fracture model as a $\Gamma$-limit of scalar damage models in which the elastic coefficient is computed from the damage variable $v$ through a function $f_k$ of the form $f_k(v)=min\{1,\varepsilon_k^{1/2} f(v)\}$, with…

偏微分方程分析 · 数学 2018-05-01 Sergio Conti , Matteo Focardi , Flaviana Iurlano

In the present article the diffusion equation is used to model the spatio-temporal dynamics of a tumor, taking into account the heterogeneous of the medium. This approach makes it possible to take into account the complex geometric shape of…

生物物理 · 物理学 2023-02-07 Maxim V. Polyakov , Valeria V. Ten

Variational phase-field models of brittle fracture are powerful tools for studying Griffith-type crack propagation in complex scenarios. However, as approximations of Griffith's theory-which does not incorporate a strength criterion-these…

应用物理 · 物理学 2026-01-06 Francesco Vicentini , Jonas Heinzmann , Pietro Carrara , Laura De Lorenzis

Complexity and heterogeneity of bone tissue require a multiscale modelling to understand their mechanical behaviour and their remodelling mechanism. Human cortical bone structure consists of six structural scale levels which are the…

医学物理 · 物理学 2011-12-07 Abdelwahed Barkaoui , Ridha Hambli

The structured deformation theory is used within the thermodynamics of irreversible processes framework in order to build a damage model relevant for quasi-brittle materials. The cracks are supposed smeared in the body and their shape is…

材料科学 · 物理学 2024-11-14 M. L. M. François

We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equations for the tumor species and the nutrient dynamics to a…

偏微分方程分析 · 数学 2021-09-23 Pavel Krejci , Elisabetta Rocca , Juergen Sprekels

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling…

材料科学 · 物理学 2021-03-24 Tianchen Hu , Brandon Talamini , Andrew J. Stershic , Michael R. Tupek , John E. Dolbow

Because of new telescopes that will dramatically improve our knowledge of the interstellar medium, chemical models will have to be used to simulate the chemistry of many regions with diverse properties. To make these models more robust, it…

星系天体物理 · 物理学 2011-03-16 V. Wakelam , E. Herbst , J. Le Bourlot , F. Hersant , F. Selsis , S. Guilloteau

Multiple Sclerosis is a chronic autoimmune disorder characterized by the degradation of the myelin sheath in the central nervous system, leading to neurological impairments. In this work, we analyze a reaction-diffusion model derived from…

组织与器官 · 定量生物学 2026-03-10 Romina Travaglini , Rossella Della Marca

Skin lesion identification is a key step toward dermatological diagnosis. When describing a skin lesion, it is very important to note its body site distribution as many skin diseases commonly affect particular parts of the body. To exploit…

计算机视觉与模式识别 · 计算机科学 2022-03-24 Haofu Liao , Jiebo Luo

We investigate the buckling and post-buckling properties of a hyperelastic half-space coated by two hyperelastic layers when the composite structure is subjected to a uniaxial compression. In the case of a half-space coated with a {\it…

斑图形成与孤子 · 物理学 2021-04-01 Mingtao Zhou , Zongxi Cai , Yibin Fu

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

偏微分方程分析 · 数学 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

People use various products containing chemical substances that can diffuse through the human skin barrier and reach deeper layers. Therefore, it is essential to understand the transport mechanisms of these chemicals. We developed…

数值分析 · 数学 2025-08-12 Milana Tesfamarian , Arne Nägel , Michael Heisig , Gabriel Wittum

Virtual garment simulation has become increasingly important with applications in garment design and virtual try-on. However, reproducing garments faithfully remains a cumbersome process. We propose an end-to-end method for estimating…

图形学 · 计算机科学 2024-01-30 Joy Xiaoji Zhang , Gene Wei-Chin Lin , Lukas Bode , Hsiao-yu Chen , Tuur Stuyck , Egor Larionov

Image classification is widely used to build predictive models for breast cancer diagnosis. Most existing approaches overwhelmingly rely on deep convolutional networks to build such diagnosis pipelines. These model architectures, although…

图像与视频处理 · 电气工程与系统科学 2022-01-20 Alireza Rezazadeh , Yasamin Jafarian , Ali Kord

Characterization of breast lesions is an essential prerequisite to detect breast cancer in an early stage. Automatic segmentation makes this categorization method robust by freeing it from subjectivity and human error. Both spectral and…

计算机视觉与模式识别 · 计算机科学 2017-03-27 Mohammad Saad Billah , Tahmida Binte Mahmud

This paper presents a survey of the state-of-the-art deformable models studied in the literature concerning soft tissue deformable modeling for interactive surgical simulation. It first introduces the challenges of surgical simulation,…

计算工程、金融与科学 · 计算机科学 2019-09-10 Jinao Zhang , Yongmin Zhong , Chengfan Gu

In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model…

计算物理 · 物理学 2025-09-24 Shubham Rai , Badri Prasad Patel

We present a fiber-distributed model of the reinforcing collagen of the human cornea. The model describes the basic connections between the components of the tissue by defining an elementary block (cell) and upscaling it to the physical…

生物物理 · 物理学 2023-06-28 Maria Laura De Bellis , Marcello Vasta , Alessio Gizzi , Anna Pandolfi

Even simple tactile stimuli can lead to remarkably different perceptions among individuals, both in intensity and pleasantness. To understand the physical factors behind this variation, it is important to investigate how mechanical events…

生物物理 · 物理学 2025-08-05 Saito Sakaguchi , Basil Duvernoy , Anders Fridberger , Håkan Olausson , Sarah McIntyre