Modeling Fracture and Failure with Abaqus

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ABAQUS初学者入门导读之一

ABAQUS初学者入门导读之一

ABAQUS初学者入门导读之一作者:cafe0519摘要:全文分8篇,分别就ABAQUS的基础背景,ABAQUS的文件组织和数据准备,ABAQUS的CAE回顾,ABAQUS的子程序调试,ABAQUS的批处理和程序自动化,ABAQUS的后处理以及ABAQUS与第三方Pre/Post处理器EDS FEMAP,Altair HyperMesh,MSC Patran和TNO FEMGV的亲密接触等几个最常遇到的话题。

第一篇主要讲述ABAQUS的基础资料的构成以及如何使用较快地入手了解你最关心的功能。

关键词:ABAQUS 有限元SIMWE 模块ABAQUS是一套功能强大的工程有限元软件,其解决问题的范围覆盖了从相对简单的线性分析到非常复杂的非线性问题。

ABAQUS拥有丰富可模拟任意形状的单元库和与之对应的各种类型的材料模型库,可以模拟大多数典型工程材料的性能,其中包括金属、橡胶、高分子材料、复合材料、钢筋混凝土、可压缩高弹性的泡沫材料以及类似于土和岩石等地质材料。

ABAQUS的最新版本是6.4-2,产品包括下面8个主要模块关于ABAQUS的进一步的介绍和ABAQUS的安装本文不做赘述。

ABAQUS Core ProductsABAQUS/Standard - 通用分析模块ABAQUS/Explicit - 显式分析模块ABAQUS/CAE - 前后处理模块ABAQUS Add-on ProductsABAQUS/AquaABAQUS/DesignABAQUS/FoundationABAQUS/Safe or FE/SAFEABAQUS Interface ProductsABAQUS Interface ABAQUS/C-MOLDABAQUS Interface for MoldflowABAQUS Interface for MSC.ADAMSABAQUS for CATIA V5正是由于ABAQUS的强大功能也带来了学习入门的复杂性,本文将通过简单介绍学习ABAQUS的体会,希望能对刚刚接触ABAQUS的学生一族给予一定的启示。

Abaqus Documentation学习方法

Abaqus Documentation学习方法

Lecture Notes
Additional reading and comments
Also read chapter 24 on Elements in the Abaqus Analysis User's Manual. Element Selection in Abaqus/Standard Benchmark Problem:
Benchmark Problems:
3.2.2 Test of ORNL plasticity theory under biaxial loading 3.2.8 Simple proportional and nonproportional cyclic tests 3.2.15 Creep of a thick cylinder under internal pressure 3.2.17 Stretching of a plate with a hole
Also read Section 6.10 of the Abaqus Analysis User's Manual.
Tire Modeling using Abaqus
Also read Section 6.4 of the Abaqus Analysis User's Manual.
Automotive Powertrain Assembly Analysis with Abaqus
Also read sections 10.6 and 11.4 of the Abaqus Analysis User's Manual.
Analysis of Geotechnical Problems with Abaqus
Also read Sections 6.8, 19.3, 19.4 of the Abaqus Analysis User's Manual.

岩土材料固有各向异性的模拟

岩土材料固有各向异性的模拟

第23卷 第10期岩石力学与工程学报 23(10):1604~16072004年5月 Chinese Journal of Rock Mechanics and Engineering May ,20042003年10月26日收到初稿,2003年12月25日收到修改稿。

作者 余天堂 简介:男,32岁,2000年于河海大学工程力学系水工结构专业获博士学位,现任副教授,主要从事计算力学方面的研究工作。

E-mail :tiantangyu@ 。

岩土材料固有各向异性的模拟余天堂(河海大学土木工程学院 南京 210098)摘要 给出了岩土材料的一种各向异性模型,并用一个各向异性参数来描述岩土材料的固有各向异性。

各向异性参数、单轴抗压强度和单轴抗拉强度是分布函数,其分布可以用微结构张量和加载方向表示。

建立了一个既能描述岩土材料的固有各向异性又能反映开裂和屈服2种破坏模式的破坏准则。

数值模拟结果表明,该模型能有效地描述岩土材料的固有各向异性。

关键词 岩土力学,破坏准则,各向异性,微结构张量分类号 TU 411.3 文献标识码 A 文章编号 1000-6915(2004)10-1604-04MODELING OF INHERENT ANISOTROPY FOR GEOTECHNICALMATERIALYu Tiantang(College of Civil Engineering ,Hohai University , Nanjing 210098 China )Abstract A model of anisotropy for geotechnical material is presented. The inherent anisotropy of this kind of material is described with an anisotropy parameter. A microstructure tensor and loading direction are incorporated in the distribution functions of anisotropy parameter ,uniaxial compressive strength and uniaxial tensile strength. A failure criterion describing the fracture and yielding for geotechnical material is set up. Numerical simulation results show that the inherent anisotropy of geotechnical material can be efficiently described with the model. Key words rock and soil mechanics ,failure criterion ,anisotropy ,microstructure tensor1 引 言由于在岩土体内部存在层理、片理等,或者,在某一方向有非常发育的节理系统,从而形成某种程度的成层现象,并沿着层面方向和垂直层面方向具有不同的弹性常数,因此,岩土体具有很强的固有各向异性。

接收时间最快的SCI杂志

接收时间最快的SCI杂志

nternational Journal for Numerical Methods in Engineering此刊最猛,一个月5期,一年4卷,以卷2100页面同样:THE International Journal ADVANCED Manufacturing Technology也很猛,一个月4期,一年5卷,一卷1800页面2、Journal of Materials Science 一个月2期,一年4卷,一卷1800页面3、Computer Methods in Applied Mechanics and Engineering 一个月2期,一年2卷,一卷4000页面4、Engineering Fracture Mechanics 18期5500页面5、International Journal of Solids and Structures 一月2期,4800页面6、Journal of Materials Processing Technology 一月3期,6300页面7、Journal of Sound and Vibration 一月3期,一年8卷,10300页面8、Materials Science and Engineering: A 一月4期,一年29卷,7500journal of materials processing technology一月2期,一年1卷,6200页面0、ACTA MECHNICS 1200页面0、Applied Physics A: Materials Science & Processing 4000页面0、Applied Mathematics and Optimization 1200页面01、Archive of Applied Mechanics 1200页面02、Communications in Numerical Methods in Engineering 2300页面04、Computational Mechanics1500页面05、Fatigue & Fracture of Engineering Materials & Structures1200页面1、International Journal of Applied Mechanics (IJAM) New创刊,可关注,在新加坡的WORLDSCI2\International Journal of Modeling, Simulation, and Scientific Computing (ijmssc)3、International Journal of Fracture 月刊,一期110页面4、Journal of Engineering Mathematics 月刊,一期110页面5、Journal of Engineering Mechanics 月刊,一期110页面6、Computer-Aided Design 月刊,一期110页面7、Engineering Failure Analysis 共2700页面8、Engineering Structures 2800页面9、Finite Elements in Analysis and Design 800页面6、Journal of Mechanical Science and Technology7、 Journal of Structural Engineering8、Materials and Structures 10期1750页面9、Automatica 12期2400页面10、International Journal of Engineering Science 1200页面11、International Journal of Fatigue 2100页面(11月就安排1月)12、International Journal of Impact Engineering 1300页面(11月安排1月)13、International Journal of Mechanical Sciences(1000页面14、 International Journal of Non-Linear Mechanics 1300页面15、International Journal of Plasticity 2500页面16、International Journal of Pressure Vessels and Piping 900页面17、 Journal of the Mechanics and Physics of Solids 2000页面18、Mechanics of Materials 13400页面19、Mechanics Research Communications 900页面20、 Mechanism and Machine Theory 2300页面21、Mechatronics 1500页面22、Simulation Modelling Practice and Theory 1800页面23、 Wear 2500页面23、Tribology International 1500页面全名影响因子* 投稿难易一审周期materials science and engineering a-structural materials properties microstructure and processing 容易超快,一般1-3周materials letters 容易超快,一般1-3周journal of materials science 容易超快,一般1-3周journal of materials processing technology 容易超快,一般1-3周nuclear instruments & methods in physics research section b-beam interactions with materials and atoms 容易超快,一般1-3周journal of magnetism and magnetic materials 容易超快,一般1-3周rare metal materials and engineering 容易很快,2-3周journal of optoelectronics and advanced materials 容易很快,2-3周materials chemistry and physics 容易很快,2-3周applied physics a-materials science & processing 容易很快,2-3周journal of nuclear materials 容易很快,2-3周materials transactions 容易较快,3-4周materials research bulletin 容易较快,3-4周journal of materials science-materials inmedicine 容易较快,3-4周journal of materials research 容易较快,3-4周computational materials science 容易较快,3-4周metallurgical and materials transactions a-physical metallurgy and materials science 容易较快,3-4周optical materials 容易较快,3-4周journal of materials science-materials in electronics 容易一般,4-6周inorganic materials 容易一般,4-6周construction and building materials 容易一般,4-6周materials characterization 容易一般,4-6周journal of electronic materials 容易一般,4-6周journal of inorganic materials 容易一般,4-6周materials & design 容易一般,4-6周materials science & engineering c-biomimetic and supramolecular systems 容易一般,4-6周smart materials & structures 容易一般,4-6周journal of wuhan university of technology-materials scienceedition 容易一般,4-6周materials science and technology 容易一般,4-6周international journal of materials research 容易偏慢,6-8周journal of materials science & technology 容易偏慢,6-8周advanced engineering materials 容易偏慢,6-8周journal of composite materials 容易偏慢,6-8周reviews on advanced materials science 容易偏慢,6-8周materialwissenschaft und werkstofftechnik 容易偏慢,6-8周bulletin of materials science 容易偏慢,6-8周archives of metallurgy and materials 容易偏慢,6-8周materials and structures 容易偏慢,6-8周materials and manufacturing processes 容易偏慢,6-8周journal of intelligent material systems and structures 容易偏慢,6-8周materials science-poland 容易偏慢,6-8周journal of materials engineering and performance 容易偏慢,6-8周materials science and engineering b-solid state materials for advanced technology 较易偏慢,6-8周jom-journal of the minerals metals & materials society 容易偏慢,6-8周jom-journal of the minerals metals & materials society 容易偏慢,6-8周materials and corrosion-werkstoffe und korrosion 容易偏慢,6-8周international journal of materials & product technology 容易较慢,8周-12周journal of porous materials 容易较慢,8周-12周macromolecular materials and engineering 较易较慢,8周-12周fatigue & fracture of engineering materials & structures 容易较慢,8周-12周science and technology of advanced materials 容易较慢,8周-12周metallurgical and materials transactions b-process metallurgy and materials processing science 容易较慢,8周-12周materials world 容易较慢,8周-12周journal of materials in civil engineering 容易较慢,8周-12周international journal of refractory metals & hard materials 容易较慢,8周-12周materials science 容易较慢,8周-12周advanced materials & processes 容易较慢,8周-12周ieee transactions on device and materials reliability 容易较慢,8周-12周materiale plastice 容易较慢,8周-12周materials performance 容易较慢,8周-12周indian journal of engineering and materials sciences 容易较慢,8周-12周modelling and simulation in materials science and engineering 容易较慢,8周-12周aci materials journal 容易较慢,8周-12周materials evaluation 容易较慢,8周-12周mechanics of composite materials 容易较慢,8周-12周journal of engineering materials and technology-transactions of the asme 容易较慢,8周-12周bio-medical materials and engineering 容易较慢,8周-12周mechanics of advanced materials and structures 容易较慢,8周-12周materials research innovations 容易 12周以上或约稿magnetic resonance materials in physics biology and medicine 较易 12周以上或约稿road materials and pavement design 容易 12周以上或约稿anti-corrosion methods and materials 容易 12周以上或约稿materiales de construccion 容易 12周以上或约稿sensors and materials 容易 12周以上或约稿materials technology 容易 12周以上或约稿journal of new materials for electrochemicalsystems 容易 12周以上或约稿journal of biomaterials applications 较易 12周以上或约稿journal of thermoplastic composite materials 容易 12周以上或约稿journal of advanced materials 容易 12周以上或约稿materials at high temperatures 容易 12周以上或约稿journal of advanced materials 容易 12周以上或约稿fire and materials 容易 12周以上或约稿易 12周以上或约稿science and engineering of composite materials 容易 12周以上或约稿cmc-computers materials & continua 较易 12周以上或约稿high temperature materials and processes 容易 12周以上或约稿materialprufung 容易 12周以上或约稿mechanics of time-dependent materials 容易 12周以上或约稿informacije midem-journal of microelectronics electronic components and materials 容易 12周以上或约稿易 12周以上或约稿journal of sandwich structures & materials 容易 12周以上或约稿high temperature material processes 容易 12周以上或约稿journal of energetic materials 容易 12周以上或约稿materials science in semiconductor processing 容易 12周以上或约稿progress in structural engineering and materials 容易 12周以上或约稿jsme international journal series a-solid mechanics and material engineering 容易 12周以上或约稿journal of computer-aided materials design 容易 12周以上或约稿journal of hazardous materials 容易超快,一般1-2周chemistry of materials 较易超快,一般1-2周advanced materials 较难很快,2-3周journal of materials chemistry 较易很快,2-3周microporous and mesoporous materials 容易很快,2-3周acta materialia 较易很快,2-3周scripta materialia 容易很快,2-3周biomaterials 较难很快,2-3周journal of biomedical materials research part a 容易较快,3-4周advanced functional materials 较难较快,3-4周diamond and related materials 容易较快,3-4周journal of biomedical materials research part b-applied biomaterials 容易一般,4-6周solar energy materials and solar cells 容易一般,4-6周dental materials 容易一般,4-6周NATURE MATERIALS 极难偏慢,6-8周journal of biomaterials science-polymer edition 较易偏慢,6-8周mechanics of materials 较易较慢,8周-12周annual review of materials research 约稿形式可能是约稿,周期不定materials science & engineering r-reports 很难可能是约稿,周期不定international materials reviews 一般 12周以上或约稿progress in materialsscience 很难可能是约稿,周期不定soft materials 较易 12周以上或约稿critical reviews in solid state and materials sciences 较难可能是约稿,周期不定progress in crystal growth and characterization of materials 较易 12周以上或约稿current opinion in solid state & materials science 较易 12周以上或约稿。

国际著名岩土工程SCI期刊中英文简介

国际著名岩土工程SCI期刊中英文简介

1. Canadian Geotechnical Journal 加拿大岩土工程学报1963年开始出版,世界上发行量最大的三家岩土工程学术期刊之一,以刊登有关基础、隧道、水坝、边坡问题精彩文章及相关学科的新技术、新发展而闻名月刊SCI期刊ISSN : 1208-6010主编:Dr. Ian Moore, Queen's Universityhttp://pubs.nrc-cnrc.gc.ca/rp-ps ... de=cgj&lang=eng/ehost/d ... #db=aph&jid=35HPublished since 1963, this monthly journal features articles, notes, and discussions related to new developments in geotechnical and geoenvironmental engineering, and applied sciences. The topics of papers written by researchers, theoreticians, and engineers/scientists active in industry include soil and rock mechanics, material properties and fundamental behaviour, site characterization, foundations, excavations, tunnels, dams and embankments, slopes, landslides, geological and rock engineering, ground improvement, hydrogeology and contaminant hydrogeology, geochemistry, waste management, geosynthetics, offshore engineering, ice, frozen ground and northern engineering, risk and reliability applications, and physical and numerical modelling. Papers on actual case records from practice are encouraged and frequently featured.2. Geotechnical Engineering, Proceedings of ICE 岩土工程/journals/英国土木工程师协会(ICE)主办,集中了岩土工程实践中的所有方面内容,包括工程实例、工程设计讨论、计算机辅助设计等SCI期刊双月刊影响因子(2006): 0.286 ISSN 1353-2618 (Print) ISSN 1751-8563 (Online)Geotechnical Engineering covers all aspects of geotechnical engineering including tunnelling, foundations, retaining walls, embankments, diaphragm walls, piling, subsidence, soil mechanics and geoenvironmental engineering. Presented in the form of reports, design discussions, methodologies and case records it forms an invaluable reference work, highlighting projects which are interesting and innovative.Geotechnical Engineering publishes six issues per year.3. Géotechnique, Proceedings of ICE 土工国际著名的有关土力学、岩石力学、工程地质、环境岩土工程的岩土技术期刊,每期只刊登几篇文章,都是鸿篇巨著。

国际著名岩土类SCI期刊中英文简介

国际著名岩土类SCI期刊中英文简介

之前tangzhichengok 虫子发过一个【分享】岩土领域内几个SCI期刊,连接如下:/bbs/viewthread.php?tid=1754221我稍微做点补充吧!国际著名岩土类SCI期刊中英文简介转载请注明原出处:临峰山庄 详细介绍1. Canadian Geotechnical Journal加拿大岩土工程杂志,1963年开始出版,世界上发行量最大的三家岩土工程学术期刊之一,以刊登有关基础、隧道、水坝、边坡问题精彩文章及相关学科的新技术、新发展而闻名月刊SCI期刊主编:Dr. Ian Moore, Queen's Universityhttp://pubs.nrc-cnrc.gc.ca/rp-ps ... de=cgj&lang=eng/ehost/d ... #db=aph&jid=35Hmonthly ISSN : 1208-6010 影响因子Impact factor: 0.542NATL RESEARCH COUNCIL CANADA, RESEARCH JOURNALS,MONTREAL RD, OTTAWA, CANADA, K1A 0R6Published since 1963, this monthly journal features articles, notes, and discussions related to new developments in geotechnical and geoenvironmental engineering, and applied sciences. The topics of papers written by researchers, theoreticians, and engineers/scientists active in industry include soil and rock mechanics, material properties and fundamental behaviour, site characterization, foundations, excavations, tunnels, dams and embankments, slopes, landslides, geological and rock engineering, ground improvement, hydrogeology and contaminant hydrogeology, geochemistry, waste management, geosynthetics, offshore engineering, ice, frozen ground and northern engineering, risk and reliability applications, and physical and numerical modelling. Papers on actual case records from practice are encouraged and frequently featured.更多资讯请上浏览2. Geotechnical Engineering, Proceedings of ICE/journals/英国土木工程师协会(ICE)主办,集中了岩土工程实践中的所有方面内容,包括工程实例、工程设计讨论、计算机辅助设计等SCI期刊双月刊影响因子(2006): 0.286 Geotechnical Engineering covers all aspects of geotechnical engineering including tunnelling, foundations, retaining walls, embankments, diaphragm walls, piling, subsidence, soil mechanics and geoenvironmental engineering.Presented in the form of reports, design discussions, methodologies and case records it forms an invaluable reference work, highlighting projects which are interesting and innovative.Geotechnical Engineering publishes six issues per year.ISSN 1353-2618 (Print)ISSN 1751-8563 (Online)Impact Factor (2006): 0.2863. Géotechnique, Proceedings of ICE国际著名的有关土力学、岩石力学、工程地质、环境岩土工程的岩土技术期刊,每期只刊登几篇文章,都是鸿篇巨著。

czm内聚力模型

czm内聚力模型
Barenblatt (1959) was
first to propose the concept of Cohesive zone model to brittle fracture
➢ Molecular force of cohesion acting near the edge of the crack at its surface (region II ). ➢ The intensity of molecular force of cohesion ‘f ’ is found to vary as shown in Fig.a. ➢ The interatomic force is initially zero when the atomic planes are separated by normal
Phase transformation
Inter/trans granular fracture
FCC
Corner atoms
Face centered atoms
BCC
Corner atoms
Body centered atoms
Active dissipation mechanisims participating at the cohesive process zone
C
y B
NO MATERIAL SEPARATION
A
l1
d max
FORWARD
D
LOCATION OF COHESIVE CRACK TIP
d D
l2
WAKE
COMPLETE MATERIAL SEPARATION
E d, X
d sep
MATERIAL CRACK TIP

FRAC-W03-ThreePointCohesive

FRAC-W03-ThreePointCohesive

Select vertices inside drag shape.
© Dassault Systè mes, 2009
Modeling Fracture and Failure with Abaqus
W3.4
Deleting obsolete attributes The cut made in the previous step effectively deleted the mesh seam and sharp crack that existed in the original model. Thus, any model attributes associated with these must also be deleted. 1. In the Model Tree, expand the Engineering Features container underneath the Assembly. Expand the Cracks container and click MB3 on Crack-1. In the menu that appears, select Delete. 2. In the Model Tree, expand the History Output Requests container. Delete the output requests associated with the sharp crack ( H-Output-2 and H-Output-3). Step definition and output The step definition will be edited to include geometrically nonlinear effects. Because the cohesive behavior introduces additional highly nonlinear effects into the model, the time incrementation parameters will be adjusted. The rotation and applied moment at one of the reference points will be written as history data to the output database file to evaluate the moment-rotation response and detect the onset of crack growth. 1. In the Model Tree, expand the Steps container and double-click Step-1. 2. In the Basic tabbed page of the step editor, toggle on Nlgeom. 3. To aid convergence once the specimen breaks in half, use automatic stabilization with a constant damping factor equal to 0.01 (toggle off adaptive stabilization). 4. Set the maximum number of increments to 250, the initial time increment size to 0.01, the minimum time increment size to 1.e-8, and the maximum time increment size to 0.01. 5. Write history output of the variables UR3 and CM3 for set right-refPt to the output database file. 6. Edit the default field output request to include the element status, as shown in Figure W3–4. This will allow you to easily evaluate when the cohesive elements fail when postprocessing the results.
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the crack propagation direction-i.e., the angle at which a preexisting crack will propagate.

the T-stress, which represents a stress parallel to the crack faces and is used as an indicator of the extent to which parameters like the J-integral are useful characterizations of the deformation field around the crack.
Defining the data required for a contour integral
Defining the crack front:
Abaqus/CAE Usage:
Interaction module: Special Crack Create: select the crack front, then select the crack tip (in two dimensions) or crack line (in three dimensions)
Interaction module: Special Crack Create: Name: crack name
Abaqus/CAE Usage:
Step module: history output request editor: Domain: Contour integral name: crack name, Number of contours: n, Type: integral_type
• •
the stress intensity factors, which are used in linear elastic fracture mechanics to measure the strength of the local crack-tip fields.
Contour integral evaluation
Contour integral evaluation
Creating the singularity:
Creating a 1/r singularity:(suitable for perfect plasticity ).
Abaqus/CAE Usage:
Interaction module: Special Crack Create: select the crack front and crack tip, and specify the crack extension direction: Singularity: Midside node parameter: n, Collapsed element side, duplicate nodes
Crack Create: Name: crack name
Abaqus/CAE U Interaction module: Special sage:
Step module: history output request editor: Domain: Contour integral name: crack name, Number of contours: n, Type: integral_type
Modeling Fracture and Failure with Abaqus
Damage and failure for ductile metals Introduction
Fracture and failure modeling allows for product designs that maximize the safe operating life of structural components. Abaqus offers many capabilities that enable fracture and failure modeling.
Contour integral evaluation
Abaqus/Standard offers the evaluation of several parameters for fracture mechanics studies: • the J-integral, which is widely accepted as a quasi-static fracture mechanics parameter for linear material response and, with limitations, for nonlinear material response; the Ct-integral, which has an equivalent role to the J-integral in the context of time-dependent creep behavior in a quasistatic step.

Fracture mechanics: overview
• Crack propagation: The crack propagation capability allows quasi-static crack growth along predefined paths to be studied in two-dimensional cases. Cracks debond along user-defined surfaces. Three crack propagation criteria are available, and multiple cracks can be included in the analysis. Contour integrals can be requested in crack propagation problems. • Line spring elements: Part-through cracks in shells can be modeled inexpensively by using line spring elements in a static procedure.
Interaction module: Special Crack Create: select the crack front and crack tip, and specify the crack extension direction: Singularity: Midside node parameter: n, Collapsed element side, single node
Crack propagation analysis
Crack propagation analysis:
• allows
for five types of fracture criteria—critical stress at a certain distance ahead of the crack tip, critical crack opening displacement, crack length versus time, VCCT (the Virtual Crack Closure Technique), and the low-cycle fatigue criterion based on the Paris law.
Defining the crack front:
Contour integral evaluation
Creating the singularity:
Creating a square root singularity:(suitable for linear elasticity).
Abaqus/CAE Usage:
Contour integral evaluation

the crack propagation direction-i.e., the angle at which a preexisting crack will propagate.

the T-stress, which represents a stress parallel to the crack faces and is used as an indicator of the extent to which parameters like the J-integral are useful characterizations of the deformation field around the crack.
Abaqus/CAE Usage:
Interaction module: Special Crack Create: select the crack front: Specify crack extension direction using: q vectors
Defining the data required for a contour integral
Damage and failure for ductile metals Introduction
Proper modeling techniques for capturing crack-tip singularities in fracture mechanics problems • Proper modeling techniques for finite-strain (nonlinear) fracture mechanics problems • Using Abaqus/CAE to create meshes appropriate for fracture studies • Calculation of stress intensity factors and contour integrals around a crack tip • Material damage and failure models • Wear and erosion modeling • Simulating crack growth using cohesive elements • Simulating crack growth using VCCT for Abaqus
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