GAMM Mitteilungen最新文献_第10页

A diffuse modeling approach for embedded interfaces in linear elasticity 线性弹性中嵌入界面的扩散建模方法

GAMM Mitteilungen Pub Date : 2019-08-22 DOI: 10.1002/gamm.202000001

Paul Hennig, Roland Maier, Daniel Peterseim, Dominik Schillinger, Barbara Verfürth, Markus Kästner

{"title":"A diffuse modeling approach for embedded interfaces in linear elasticity","authors":"Paul Hennig, Roland Maier, Daniel Peterseim, Dominik Schillinger, Barbara Verfürth, Markus Kästner","doi":"10.1002/gamm.202000001","DOIUrl":"10.1002/gamm.202000001","url":null,"abstract":"In this contribution, we present a diffuse modeling approach to embed material interfaces into nonconforming meshes with a focus on linear elasticity. For this purpose, a regularized indicator function is employed that describes the distribution of the different materials by a scalar value. The material in the resulting diffuse interface region is redefined in terms of this indicator function and recomputed by a homogenization of the adjacent material parameters. The applied homogenization method fulfills the kinematic compatibility across the interface and the static equilibrium at the interface. In addition, an hℓ-adaptive refinement strategy based on truncated hierarchical B-spline is applied to provide an appropriate and efficient approximation of the diffuse interface region. We justify mathematically and demonstrate numerically that the applied approach leads to optimal convergence rates in the far field for one-dimensional problems. A two-dimensional example illustrates that the application of the hℓ-adaptive refinement strategy allows for a clear reduction of the error in the near and far field and a good resolution of the local stress and strain fields at the interface. The use of a higher continuous B-spline basis leads to efficient computations due to the higher continuity of the diffuse interface model.","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/gamm.202000001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86833375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 8

Spline- and hp-basis functions of higher differentiability in the finite cell method 有限单元法中具有较高可微性的样条基和hp基函数

GAMM Mitteilungen Pub Date : 2019-08-22 DOI: 10.1002/gamm.202000004

Stefan Kollmannsberger, Davide D'Angella, Ernst Rank, Wadhah Garhuom, Simeon Hubrich, Alexander Düster, Paolo Di Stolfo, Andreas Schröder

引用次数: 8

A detailed investigation of the model influencing parameters of the phase-field fracture approach 详细研究了相场断裂方法的影响参数模型

GAMM Mitteilungen Pub Date : 2019-08-22 DOI: 10.1002/gamm.202000005

Carola Bilgen, Alena Kopaničáková, Rolf Krause, Kerstin Weinberg

引用次数: 6

Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator 基于残差型后验误差估计的准静态相场裂缝网格自适应

GAMM Mitteilungen Pub Date : 2019-08-22 DOI: 10.1002/gamm.202000003

K. Mang, M. Walloth, T. Wick, W. Wollner

{"title":"Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator","authors":"K. Mang, M. Walloth, T. Wick, W. Wollner","doi":"10.1002/gamm.202000003","DOIUrl":"10.1002/gamm.202000003","url":null,"abstract":"In this work, we consider adaptive mesh refinement for a monolithic phase-field description for fractures in brittle materials. Our approach is based on an a posteriori error estimator for the phase-field variational inequality realizing the fracture irreversibility constraint. The key goal is the development of a reliable and efficient residual-type error estimator for the phase-field fracture model in each time-step. Based on this error estimator, error indicators for local mesh adaptivity are extracted. The proposed estimator is based on a technique known for singularly perturbed equations in combination with estimators for variational inequalities. These theoretical developments are used to formulate an adaptive mesh refinement algorithm. For the numerical solution, the fracture irreversibility is imposed using a Lagrange multiplier. The resulting saddle-point system has three unknowns: displacements, phase-field, and a Lagrange multiplier for the crack irreversibility. Several numerical experiments demonstrate our theoretical findings with the newly developed estimators and the corresponding refinement strategy.","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/gamm.202000003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81652308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 23

On computational approaches of liver lobule function and perfusion simulation 肝小叶功能的计算方法及灌注模拟

GAMM Mitteilungen Pub Date : 2019-05-24 DOI: 10.1002/gamm.201900016

Tim Ricken, Lena Lambers

引用次数: 5

A study of growth and remodeling in isotropic tissues, based on the Anand-Aslan-Chester theory of strain-gradient plasticity 基于应变梯度塑性的Anand-Aslan-Chester理论的各向同性组织生长和重塑研究

GAMM Mitteilungen Pub Date : 2019-05-22 DOI: 10.1002/gamm.201900015

Alfio Grillo, Salvatore Di Stefano, Ariel Ramírez-Torres, Michele Loverre

{"title":"A study of growth and remodeling in isotropic tissues, based on the Anand-Aslan-Chester theory of strain-gradient plasticity","authors":"Alfio Grillo, Salvatore Di Stefano, Ariel Ramírez-Torres, Michele Loverre","doi":"10.1002/gamm.201900015","DOIUrl":"10.1002/gamm.201900015","url":null,"abstract":"Motivated by the increasing interest of the biomechanical community towards the employment of strain-gradient theories for solving biological problems, we study the growth and remodeling of a biological tissue on the basis of a strain-gradient formulation of remodeling. Our scope is to evaluate the impact of such an approach on the principal physical quantities that determine the growth of the tissue. For our purposes, we assume that remodeling is characterized by a coarse and a fine length scale and, taking inspiration from a work by Anand, Aslan, and Chester, we introduce a kinematic variable that resolves the fine scale inhomogeneities induced by remodeling. With respect to this variable, a strain-gradient framework of remodeling is developed. We adopt this formulation in order to investigate how a tumor tissue grows and how it remodels in response to growth. In particular, we focus on a type of remodeling that manifests itself in two different, but complementary, ways: on the one hand, it finds its expression in a stress-induced reorganization of the adhesion bonds among the tumor cells, and, on the other hand, it leads to a change of shape of the cells and of the tissue, which is generally not recovered when external loads are removed. To address this situation, we resort to a generalized Bilby-Kröner-Lee decomposition of the deformation gradient tensor. We test our model on a benchmark problem taken from the literature, which we rephrase in two ways: microscale remodeling is disregarded in the first case, and accounted for in the second one. Finally, we compare and discuss the obtained numerical results.","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"42 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/gamm.201900015","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84907268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 12

The dynamics of the skeletal muscle: A systems biophysics perspective on muscle modeling with the focus on Hill-type muscle models 骨骼肌动力学:肌肉建模的系统生物物理学观点，重点是希尔型肌肉模型

GAMM Mitteilungen Pub Date : 2019-05-21 DOI: 10.1002/gamm.201900013

Syn Schmitt, Michael Günther, Daniel F. B. Häufle

引用次数: 12

A generalized inelastic modeling concept for soft fibrous tissues 软纤维组织的广义非弹性建模概念

GAMM Mitteilungen Pub Date : 2019-05-14 DOI: 10.1002/gamm.201900014

Markus Hillgärtner, Kevin Linka, Mikhail Itskov

引用次数: 1

Biomechanics of the tricuspid annulus: A review of the annulus' in vivo dynamics with emphasis on ovine data 三尖瓣环的生物力学:回顾环的体内动力学，重点是羊的数据

GAMM Mitteilungen Pub Date : 2019-05-14 DOI: 10.1002/gamm.201900012

Manuel K. Rausch, Mrudang Mathur, William D. Meador

{"title":"Biomechanics of the tricuspid annulus: A review of the annulus' in vivo dynamics with emphasis on ovine data","authors":"Manuel K. Rausch, Mrudang Mathur, William D. Meador","doi":"10.1002/gamm.201900012","DOIUrl":"10.1002/gamm.201900012","url":null,"abstract":"The tricuspid annulus forms the boundary between the tricuspid valve leaflets and their surrounding perivalvular tissue of the right atrioventricular junction. Its shape changes throughout the cardiac cycle in response to the forces from the contracting right heart myocardium and the blood‐valve interaction. Alterations to annular shape and dynamics in disease lead to valvular dysfunctions such as tricuspid regurgitation from which millions of patients suffer. Successful treatment of such dysfunction requires an in‐depth understanding of the normal shape and dynamics of the tricuspid annulus and of the changes following disease and subsequent repair. In this manuscript we review what we know about the shape and dynamics of the normal tricuspid annulus and about the effects of both disease and repair based on noninvasive imaging studies and invasive fiduciary marker‐based studies. We further show, by means of ovine data, that detailed engineering analyses of the tricuspid annulus provide regionally resolved insight into the kinematics of the annulus which would remain hidden if limiting analyses to simple geometric metrics.","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"42 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/gamm.201900012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83182205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Assessment and design of an engineering structure with polymorphic uncertainty quantification 基于多态不确定性量化的工程结构评估与设计

GAMM Mitteilungen Pub Date : 2019-04-22 DOI: 10.1002/gamm.201900009

Iason Papaioannou, Marco Daub, Martin Drieschner, Fabian Duddeck, Max Ehre, Lukas Eichner, Martin Eigel, Marco Götz, Wolfgang Graf, Lars Grasedyck, Robert Gruhlke, Dietmar Hömberg, Michael Kaliske, Dieter Moser, Yuri Petryna, Daniel Straub

{"title":"Assessment and design of an engineering structure with polymorphic uncertainty quantification","authors":"Iason Papaioannou, Marco Daub, Martin Drieschner, Fabian Duddeck, Max Ehre, Lukas Eichner, Martin Eigel, Marco Götz, Wolfgang Graf, Lars Grasedyck, Robert Gruhlke, Dietmar Hömberg, Michael Kaliske, Dieter Moser, Yuri Petryna, Daniel Straub","doi":"10.1002/gamm.201900009","DOIUrl":"10.1002/gamm.201900009","url":null,"abstract":"Engineers are faced with the challenge of supporting decision making under uncertainty. Engineering decisions often depend on model-based predictions of the performance of the engineering system of interest. Input uncertainties of models can be categorized into two distinct types: aleatory (random/irreducible) or epistemic (reducible). Polymorphic uncertainty quantification (UQ) can be used to treat aleatory and epistemic uncertainties in a unified framework. The polymorphic UQ framework employs probability theory to model aleatory variables and alternative approaches (interval, fuzzy, Bayesian probabilistic, and combinations thereof) to model epistemic variables. This paper compares different polymorphic UQ approaches with respect to their ability to support a simple engineering decision. The comparison is based on a test-bed example, whereby aleatory variables are defined in terms of probability distributions and epistemic variables are described based on limited information (sparse data or intervals). Two challenges related to common engineering decisions (safety assessment and reliability-based design) serve as a basis for the comparison. Five independent research groups applied different models to describe the epistemic parameters based on a subjective interpretation of the given information. The comparison of the results reveals a strong influence of both the subjective choices on the models of the epistemic variables and the chosen basis for assessing the performance of the structure on the obtained decision outcomes.","PeriodicalId":53634,"journal":{"name":"GAMM Mitteilungen","volume":"42 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/gamm.201900009","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79099553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 14