BasicsofMaterialBehaviorprof. dr. ir. Andre A.A. MolenaarAugust31,2025?RoadandRailwayEngineeringSectionTUDelftDelftUniversityofTechnology
Vermelding onderdeel organisatie August 31, 2025 1 Basics of Material Behavior prof. dr. ir. Andre A.A. Molenaar Road and Railway Engineering Section
Fascinatingworldofmaterialsonmicro-scaletexturelimestone2500xtexture ceramicwaste aggregate2700xAugust31,2025TUDelft
August 31, 2025 2 Fascinating world of materials on micro-scale texture ceramic waste aggregate texture limestone 2500x 2700x
What happens e.g. at the interface ofstoneand bitumenBitumenStomeBitumenCeramicLimestone/Dolomite7000xCeramicaggregate8000xAugust31,2025TUDelft
August 31, 2025 3 What happens e.g. at the interface of stone and bitumen Limestone/Dolomite 7000 x Ceramic aggregate 8000 x
Although material behaviour is determined byprocesses on nano-level (10-9 m) we will stay atthe macro-level (10-3m).August31,2025TUDelft
August 31, 2025 4 Although material behaviour is determined by processes on nano-level (10-9 m) we will stay at the macro-level ( 10-3m)
Kidsknow that strength of a material isnot a"constant"it depends on"conditions"August31,2025TUDelft
August 31, 2025 5 Kids know that strength of a material is not a “constant” it depends on “conditions
Importanceof stressconditionsCharacteristics of granular materials are highlydependentonstressconditionsTheamountoflateralsupportisessentialAugust31,2025艺TUDelft
August 31, 2025 6 Importance of stress conditions • Characteristics of granular materials are highly dependent on stress conditions. • The amount of lateral support is essential
Materialmodels6b.linearelastica.Perfectlystiffc.not linearelasticif loading and unloadingtheoreticalcasefollow lineA,if unloadingfollows lineBthennotelastice.stiff,plastic withf.elastic,perfect plasticd.perfectplastichardeningh.not linearelasto-plasticwithg.elasto-plasticwithhardeningTUDelfthardening
August 31, 2025 7 a. Perfectly stiff b. linear elastic c. not linear elastic theoretical case if loading and unloading follow line A, if unloading follows line B then not elastic B A d. perfect plastic e. stiff, plastic with f. elastic, perfect plastic hardening g. elasto-plastic with hardening h. not linear elasto-plastic with hardening Material models
PlasticityloadThe slider is used toschematizeplasticitydisplacementAugust31,20252TUDelft
August 31, 2025 8 Plasticity load displacement The slider is used to schematize plasticity
Elasto-perfectplasticbehaviourloaddisplacementAugust31,2025TUDelft
August 31, 2025 9 Elasto – perfect plastic behaviour load displacement
Generalizedstress-straincurveinfailuretestStrainatstressbreakStressatbreakdeformationpermanentelastic10August31,20252TUDelft
August 31, 2025 10 Generalized stress – strain curve in failure test stress Stress at break Strain at break deformation P C permanent elastic