A finite-strain model for incomplete damage in elastoplastic materials
We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of generalized standard materials, the constitutive model results from the balance of conservative and dissipative forces. Material res...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2021-02, Vol.374, p.113571, Article 113571 |
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| container_title | Computer methods in applied mechanics and engineering |
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| creator | Melching, David Neunteufel, Michael Schöberl, Joachim Stefanelli, Ulisse |
| description | We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of generalized standard materials, the constitutive model results from the balance of conservative and dissipative forces. Material response is rate-independent and associative and damage evolution is unidirectional. We assess the model features and performance on both uniaxial and non-proportional biaxial tests.
The constitutive model is then complemented with the quasistatic equilibrium system and initial and boundary conditions. We produce numerical simulations with the help of the multiphysics finite element software NETGEN/NGSolve. We show the flexibility of the implementation and run simulations for various 2D and 3D settings under different choices of boundary conditions and possibly in presence of pre-damaged regions.
•Introducing a 3D finite-strain model for elastoplastic damageable solids.•Proving existence for incremental quasistationary problems.•Presenting NETGEN/NGSolve-based 2D and 3D numerical simulations. |
| doi_str_mv | 10.1016/j.cma.2020.113571 |
| format | Article |
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The constitutive model is then complemented with the quasistatic equilibrium system and initial and boundary conditions. We produce numerical simulations with the help of the multiphysics finite element software NETGEN/NGSolve. We show the flexibility of the implementation and run simulations for various 2D and 3D settings under different choices of boundary conditions and possibly in presence of pre-damaged regions.
•Introducing a 3D finite-strain model for elastoplastic damageable solids.•Proving existence for incremental quasistationary problems.•Presenting NETGEN/NGSolve-based 2D and 3D numerical simulations.</description><identifier>ISSN: 0045-7825</identifier><identifier>EISSN: 1879-2138</identifier><identifier>DOI: 10.1016/j.cma.2020.113571</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Biaxial tests ; Boundary conditions ; Computer simulation ; Constitutive models ; Damage ; Elastoplasticity ; Finite element method ; Finite plasticity ; Large-strains ; Mathematical analysis ; Mathematical models ; Quasistatic evolution ; Three dimensional models</subject><ispartof>Computer methods in applied mechanics and engineering, 2021-02, Vol.374, p.113571, Article 113571</ispartof><rights>2020 Elsevier B.V.</rights><rights>Copyright Elsevier BV Feb 1, 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c277t-a558967896cb3d9774813b21934a2c2687ed11308a395dcfcd4a8c1be66df7fc3</cites><orcidid>0000-0002-7039-387X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.cma.2020.113571$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Melching, David</creatorcontrib><creatorcontrib>Neunteufel, Michael</creatorcontrib><creatorcontrib>Schöberl, Joachim</creatorcontrib><creatorcontrib>Stefanelli, Ulisse</creatorcontrib><title>A finite-strain model for incomplete damage in elastoplastic materials</title><title>Computer methods in applied mechanics and engineering</title><description>We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of generalized standard materials, the constitutive model results from the balance of conservative and dissipative forces. Material response is rate-independent and associative and damage evolution is unidirectional. We assess the model features and performance on both uniaxial and non-proportional biaxial tests.
The constitutive model is then complemented with the quasistatic equilibrium system and initial and boundary conditions. We produce numerical simulations with the help of the multiphysics finite element software NETGEN/NGSolve. We show the flexibility of the implementation and run simulations for various 2D and 3D settings under different choices of boundary conditions and possibly in presence of pre-damaged regions.
•Introducing a 3D finite-strain model for elastoplastic damageable solids.•Proving existence for incremental quasistationary problems.•Presenting NETGEN/NGSolve-based 2D and 3D numerical simulations.</description><subject>Biaxial tests</subject><subject>Boundary conditions</subject><subject>Computer simulation</subject><subject>Constitutive models</subject><subject>Damage</subject><subject>Elastoplasticity</subject><subject>Finite element method</subject><subject>Finite plasticity</subject><subject>Large-strains</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Quasistatic evolution</subject><subject>Three dimensional models</subject><issn>0045-7825</issn><issn>1879-2138</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9UE1LxDAQDaLguvoDvAU8d81H26R4Wha_YMGLnkM2mUhK29QkK_jvzVLPDsw8Zpg383gI3VKyoYS29_3GjHrDCCs95Y2gZ2hFpegqRrk8RytC6qYSkjWX6CqlnpSQlK3Q0xY7P_kMVcpR-wmPwcKAXYjYTyaM8wAZsNWj_oQywTDolMN8qt7gUWeIXg_pGl24AnDzh2v08fT4vnup9m_Pr7vtvjJMiFzpppFdK0qaA7edELWk_MBox2vNDGulAFvkE6l511jjjK21NPQAbWudcIav0d1yd47h6wgpqz4c41ReKlZLSWpGJC9bdNkyMaQUwak5-lHHH0WJOtmlelXsUie71GJX4TwsHCjyvz1ElYyHyYD1EUxWNvh_2L-kD3G3</recordid><startdate>20210201</startdate><enddate>20210201</enddate><creator>Melching, David</creator><creator>Neunteufel, Michael</creator><creator>Schöberl, Joachim</creator><creator>Stefanelli, Ulisse</creator><general>Elsevier B.V</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-7039-387X</orcidid></search><sort><creationdate>20210201</creationdate><title>A finite-strain model for incomplete damage in elastoplastic materials</title><author>Melching, David ; Neunteufel, Michael ; Schöberl, Joachim ; Stefanelli, Ulisse</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c277t-a558967896cb3d9774813b21934a2c2687ed11308a395dcfcd4a8c1be66df7fc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Biaxial tests</topic><topic>Boundary conditions</topic><topic>Computer simulation</topic><topic>Constitutive models</topic><topic>Damage</topic><topic>Elastoplasticity</topic><topic>Finite element method</topic><topic>Finite plasticity</topic><topic>Large-strains</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Quasistatic evolution</topic><topic>Three dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Melching, David</creatorcontrib><creatorcontrib>Neunteufel, Michael</creatorcontrib><creatorcontrib>Schöberl, Joachim</creatorcontrib><creatorcontrib>Stefanelli, Ulisse</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computer methods in applied mechanics and engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Melching, David</au><au>Neunteufel, Michael</au><au>Schöberl, Joachim</au><au>Stefanelli, Ulisse</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A finite-strain model for incomplete damage in elastoplastic materials</atitle><jtitle>Computer methods in applied mechanics and engineering</jtitle><date>2021-02-01</date><risdate>2021</risdate><volume>374</volume><spage>113571</spage><pages>113571-</pages><artnum>113571</artnum><issn>0045-7825</issn><eissn>1879-2138</eissn><abstract>We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of generalized standard materials, the constitutive model results from the balance of conservative and dissipative forces. Material response is rate-independent and associative and damage evolution is unidirectional. We assess the model features and performance on both uniaxial and non-proportional biaxial tests.
The constitutive model is then complemented with the quasistatic equilibrium system and initial and boundary conditions. We produce numerical simulations with the help of the multiphysics finite element software NETGEN/NGSolve. We show the flexibility of the implementation and run simulations for various 2D and 3D settings under different choices of boundary conditions and possibly in presence of pre-damaged regions.
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Biaxial tests Boundary conditions Computer simulation Constitutive models Damage Elastoplasticity Finite element method Finite plasticity Large-strains Mathematical analysis Mathematical models Quasistatic evolution Three dimensional models |
| title | A finite-strain model for incomplete damage in elastoplastic materials |
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