Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials
In this paper, we present a hybrid dual-variable-horizon peridynamics/continuum mechanics modeling approach and a strength-induced adaptive coupling algorithm to simulate brittle fractures in porous materials. Peridynamics theory is promising for fracture simulation since it allows discontinuities i...
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| Veröffentlicht in: | Engineering with computers 2023-10, Vol.39 (5), p.3207-3227 |
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| creator | Shangkun, Shen Zihao, Yang Junzhi, Cui Jieqiong, Zhang |
| description | In this paper, we present a hybrid dual-variable-horizon peridynamics/continuum mechanics modeling approach and a strength-induced adaptive coupling algorithm to simulate brittle fractures in porous materials. Peridynamics theory is promising for fracture simulation since it allows discontinuities in the displacement field. However, they remain computationally expensive. Besides, there exists the surface effect in peridynamics due to the incomplete neighborhoods near the boundaries, including the outer boundaries and the boundaries of inner pores in porous materials. The proposed approach couples continuum mechanics and peridynamics into a closed equation system and an adaptive algorithm is developed to activate the peridynamics according to a strength criterion. In addition, the surface effect is corrected by introducing an improved peridynamic model with dual and variable horizons. We conduct the simulations using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite-element in the peridynamic domain and the continuous finite-element in the continuum mechanics domain. Two-dimensional numerical examples illustrate that successful fracture simulations of random porous materials can be achieved by this approach. In addition, the impact of distribution and size of pores on the fractures of porous materials is also investigated. |
| doi_str_mv | 10.1007/s00366-022-01730-6 |
| format | Article |
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Peridynamics theory is promising for fracture simulation since it allows discontinuities in the displacement field. However, they remain computationally expensive. Besides, there exists the surface effect in peridynamics due to the incomplete neighborhoods near the boundaries, including the outer boundaries and the boundaries of inner pores in porous materials. The proposed approach couples continuum mechanics and peridynamics into a closed equation system and an adaptive algorithm is developed to activate the peridynamics according to a strength criterion. In addition, the surface effect is corrected by introducing an improved peridynamic model with dual and variable horizons. We conduct the simulations using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite-element in the peridynamic domain and the continuous finite-element in the continuum mechanics domain. 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Applications in Chemistry</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Engineering</subject><subject>Mechanics</subject><subject>Original Article</subject><subject>Porous materials</subject><subject>Systems Theory</subject><issn>0177-0667</issn><issn>1435-5663</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9UMtKxDAUDaLg-PgBVwHX0ZumTZul-IYBN7MPaZJqpE1q0gi688_NOII7V-dyOA_uQeiMwgUFaC8TAOOcQFURoC0DwvfQitasIQ3nbB-tCtsS4Lw9REcpvQJQBiBW6Osmq5G8q-hUP1ryEqL7DB7PNjrz4dXkdMLKG6yDX5zPecKT1S_Kb3kd8jw6_4ynYOzPsVUqo-bFvVs8RKWXHC1ObsqjWlzJdSU6xJATntRSOtSYTtDBUMCe_uIx2tzdbq4fyPrp_vH6ak00o2IhphV9BzUVgnaM8tra8oG1vWmM5r1oqQFDDes6xXummWB1JRoGgwGmqbLsGJ3vYucY3rJNi3wNOfrSKKuOd3UrGs6KqtqpdAwpRTvIObpJxQ9JQW6XlrulZVla_iwteTGxnSkVsX-28S_6H9c31v2EIg</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>Shangkun, Shen</creator><creator>Zihao, Yang</creator><creator>Junzhi, Cui</creator><creator>Jieqiong, Zhang</creator><general>Springer London</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7XB</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0003-4094-6565</orcidid></search><sort><creationdate>20231001</creationdate><title>Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials</title><author>Shangkun, Shen ; Zihao, Yang ; Junzhi, Cui ; Jieqiong, Zhang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-d79b804199183164ee130eebd5dc6b971d0d1d388a6b3c393429530fd03c1ae3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Adaptive algorithms</topic><topic>Boundaries</topic><topic>CAE) and Design</topic><topic>Calculus of Variations and Optimal Control; Optimization</topic><topic>Classical Mechanics</topic><topic>Computer Science</topic><topic>Computer simulation</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Continuum mechanics</topic><topic>Control</topic><topic>Coupling</topic><topic>Discontinuity</topic><topic>Horizon</topic><topic>Math. Applications in Chemistry</topic><topic>Mathematical analysis</topic><topic>Mathematical and Computational Engineering</topic><topic>Mechanics</topic><topic>Original Article</topic><topic>Porous materials</topic><topic>Systems Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shangkun, Shen</creatorcontrib><creatorcontrib>Zihao, Yang</creatorcontrib><creatorcontrib>Junzhi, Cui</creatorcontrib><creatorcontrib>Jieqiong, Zhang</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Engineering with computers</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shangkun, Shen</au><au>Zihao, Yang</au><au>Junzhi, Cui</au><au>Jieqiong, Zhang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials</atitle><jtitle>Engineering with computers</jtitle><stitle>Engineering with Computers</stitle><date>2023-10-01</date><risdate>2023</risdate><volume>39</volume><issue>5</issue><spage>3207</spage><epage>3227</epage><pages>3207-3227</pages><issn>0177-0667</issn><eissn>1435-5663</eissn><abstract>In this paper, we present a hybrid dual-variable-horizon peridynamics/continuum mechanics modeling approach and a strength-induced adaptive coupling algorithm to simulate brittle fractures in porous materials. Peridynamics theory is promising for fracture simulation since it allows discontinuities in the displacement field. However, they remain computationally expensive. Besides, there exists the surface effect in peridynamics due to the incomplete neighborhoods near the boundaries, including the outer boundaries and the boundaries of inner pores in porous materials. The proposed approach couples continuum mechanics and peridynamics into a closed equation system and an adaptive algorithm is developed to activate the peridynamics according to a strength criterion. In addition, the surface effect is corrected by introducing an improved peridynamic model with dual and variable horizons. We conduct the simulations using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite-element in the peridynamic domain and the continuous finite-element in the continuum mechanics domain. 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| subjects | Adaptive algorithms Boundaries CAE) and Design Calculus of Variations and Optimal Control Optimization Classical Mechanics Computer Science Computer simulation Computer-Aided Engineering (CAD Continuum mechanics Control Coupling Discontinuity Horizon Math. Applications in Chemistry Mathematical analysis Mathematical and Computational Engineering Mechanics Original Article Porous materials Systems Theory |
| title | Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials |
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