[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-272683-105":59,"doc-detail-272683-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","plaxis-3d-materials-models-manual","PLAXIS 3D - Materials Models Manual","","PLAXIS 3D Materials Models Manual provides comprehensive guidance for selecting, understanding, and applying soil and rock constitutive models. It explains key stress and strain definitions, effective-stress formulations for undrained and drained analyses, and the role of parameters such as Skempton B and Biot’s coefficient. The manual then details advanced model formulations including Mohr-Coulomb, Hoek-Brown, Jointed Rock anisotropy, Hardening Soil, and Hardening Soil with small-strain stiffness, including parameter determination, depth dependence, and notes for use in dynamics calculations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/plaxis-3d-materials-models-manual/272683/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/plaxis-3d-materials-models-manual/272683.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver Hayes","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-03","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What stress and strain concepts are introduced before using material models in PLAXIS 3D?","Question",{"text":112,"@type":113},"The manual covers general definitions of stress and strain, including elastic strains and effective-stress concepts used for undrained analyses.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does the manual structure different undrained effective stress analyses?",{"text":117,"@type":113},"It presents undrained effective stress analysis in terms of effective stiffness parameters, then expands to effective strength parameters (Undrained A) and undrained strength parameters (Undrained B), and also includes undrained total stress analysis (Undrained C).",{"name":119,"@type":110,"acceptedAnswer":120},"Which constitutive models are documented for soil and rock behavior, and what topics are included for each?",{"text":121,"@type":113},"It details Mohr-Coulomb, Hoek-Brown, Jointed Rock anisotropy, Hardening Soil (isotropic hardening), and Hardening Soil with small-strain stiffness, including model formulation, parameters, and guidance for dynamics calculations where applicable.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},272683,1791037511,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},687207020761,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","PLAXIS 3 D 2025.1  \nMaterials Models Manual  \nLast Updated: September 24, 2025  \n© 2025. Seequent, The Bentley Subsurface Company  \nTable of Contents  \n1 Introduction ............................................................................7  \n1.1 Material Models and Licencing levels............................................................................... 7  \n1.2 On the use of different models........................................................................................ 8  \n1.3 Limitations......................................................................................................................... 11  \n2 Preliminaries on material modelling........................................14  \n2.1 General definitions of stress............................................................................................15  \n2.2 General definitions of strain............................................................................................17  \n2.3 Elastic strains...................................................................................................................18  \n2.4 Undrained effective stress analysis (effective stiffness parameters) ............................19  \n2.4.1 Skempton B-parameter...................................................................................... 22  \n2.4.2 Biot pore pressure coefficient α Biot [ULT] ........................................................ 23  \n2.5 Undrained effective stress analysis with effective strength parameters (Undrained  \nA) ....................................................................................................................................... 24  \n2.6 Undrained effective stress analysis with undrained strength parameters (Undrained B) ................................................................................................................... 25  \n2.7 Undrained total stress analysis with undrained parameters (Undrained C) ..................26  \n2.8 The initial pre-consolidation stress in advanced models.............................................. 27  \n2.9 On the initial stresses..................................................................................................... 29  \n3 Linear Elastic Perfectly Plastic Model (Mohr-Coulomb Model) ................................................................................. 31  \n3.1 Linear Elastic Perfectly-Plastic behaviour.................................................................... 31  \n3.2 Formulation of the Mohr-Coulomb model..................................................................... 33  \n3.3 Parameters of the Mohr-Coulomb model...................................................................... 34  \n3.4 Depth-dependency......................................................................................................... 40  \n3.5 On the use of the Mohr-Coulomb model in dynamics calculations [ULT] ..................... 41  \n4 The Hoek-Brown model ( rock behaviour) ............................... 42  \n4.1 Formulation of the Hoek-Brown model.......................................................................... 42  \n4.2 Conversion of Hoek-Brown to Mohr-Coulomb.............................................................. 45  \n4.3 Parameters of the Hoek-Brown model.......................................................................... 45  \n4.4 On the use of the Hoek-Brown model in dynamics calculations.................................. 53  \n5 The Jointed Rock model (anisotropy) .................................... 54  \n5.1 Anisotropic elastic material stiffness matrix................................................................... 55  \n5.2 Plastic behaviour in three directions..............................................................................57  \n5.3 Parameters of the Jointed Rock model......................................................................... 59  \n5.4 On the use of the Jointed Rock model in dynamic","cbCainQAVLk0MkoD","https://ap.wps.com/l/cbCainQAVLk0MkoD","pdf",15132084,261,"English","# Introduction\n## Material Models and Licencing levels\n## On the use of different models\n## Limitations\n# Preliminaries on material modelling\n## General definitions of stress\n## General definitions of strain\n## Elastic strains\n## Undrained effective stress analysis (effective stiffness parameters)\n## Undrained effective stress analysis with effective strength parameters (Undrained A)\n## Undrained effective stress analysis with undrained strength parameters (Undrained B)\n## Undrained total stress analysis with undrained parameters (Undrained C)\n## The initial pre-consolidation stress in advanced models\n## On the initial stresses\n# Linear Elastic Perfectly Plastic Model (Mohr-Coulomb Model)\n## Linear Elastic Perfectly-Plastic behaviour\n## Formulation of the Mohr-Coulomb model\n## Parameters of the Mohr-Coulomb model\n## Depth-dependency\n## On the use of the Mohr-Coulomb model in dynamics calculations [ULT]\n# The Hoek-Brown model (rock behaviour)\n## Formulation of the Hoek-Brown model\n## Conversion of Hoek-Brown to Mohr-Coulomb\n## Parameters of the Hoek-Brown model\n## On the use of the Hoek-Brown model in dynamics calculations\n# The Jointed Rock model (anisotropy)\n## Anisotropic elastic material stiffness matrix\n## Plastic behaviour in three directions\n## Parameters of the Jointed Rock model\n## On the use of the Jointed Rock model in dynamics calculations\n# The Hardening Soil model (Isotropic hardening)\n## Hyperbolic relationship for standard drained triaxial test\n## Approximation of hyperbola by the Hardening Soil model\n## Plastic volumetric strain for triaxial states of stress\n## Parameters of the Hardening Soil Model\n## On the cap yield surface in the Hardening Soil model\n## State parameters in the Hardening Soil model\n## On the use of the Hardening Soil model in dynamics calculations\n# The Hardening Soil model with small-strain stiffness (HSsmall)\n## Describing small-strain stiffness with a Simple Hyperbolic Law\n## Applying the Hardin-Drnevich relationship in the HS Model\n## Virgin (initial) loading vs unloading/reloading\n## Model Parameters\n## On the parameters G0 and γ0.7\n## Model Initialisation\n## State parameters in the Hardening Soil model with small-strain stiffness\n## On the use of the Hardening Soil model with small-strain stiffness in dynamics calculations","[{\"question\":\"What stress and strain concepts are introduced before using material models in PLAXIS 3D?\",\"answer\":\"The manual covers general definitions of stress and strain, including elastic strains and effective-stress concepts used for undrained analyses.\"},{\"question\":\"How does the manual structure different undrained effective stress analyses?\",\"answer\":\"It presents undrained effective stress analysis in terms of effective stiffness parameters, then expands to effective strength parameters (Undrained A) and undrained strength parameters (Undrained B), and also includes undrained total stress analysis (Undrained C).\"},{\"question\":\"Which constitutive models are documented for soil and rock behavior, and what topics are included for each?\",\"answer\":\"It details Mohr-Coulomb, Hoek-Brown, Jointed Rock anisotropy, Hardening Soil (isotropic hardening), and Hardening Soil with small-strain stiffness, including model formulation, parameters, and guidance for dynamics calculations where applicable.\"}]","PLAXIS 3D - Materials Models Manual | PDF",1789466927,658]