RE-FRACTURE2 Summer School 2022, July 25 - 30, 2022, Trento

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Venue

The RE-FRACTURE2 Summer School 2022 will take place at the Department of Civil, Environmental and Mechanical Engineering of the University of Trento (via Mesiano, 77). The Department is located on a beautiful hill, 10 minutes far from Trento city center by taking bus N.5 at the train station.

Registration

Registration requests should be sent to: andrea.piccolroaz@unitn.it

Material

Lecture 1 - Monday morning - Introduction to linear solid mechanics

• Lecture notes

Lecture 2 - Monday afternoon - Introduction to nonlinear solid mechanics

• Lecture notes

Lecture 3 - Tuesday morning - Thermoelasticity

• Lecture notes

Example of application: Thermoelastic Stress Analysis

• Thermoelastic stress analysis

01. Uniaxial stress of a steel bar - instantaneous load

• Comsol simulation


• AceGen/AceFEM simulation

02. Uniaxial stress of a steel bar - smooth load

• Comsol simulation


• AceGen/AceFEM simulation

03. Uniaxial stress of a steel bar - sinusoidal load

• Comsol simulation


• AceGen/AceFEM simulation

04. Plate with hole - sinusoidal load

• Comsol simulation


• AceGen/AceFEM simulation

References:

• Boley, Weiner - Theory of thermal stresses


• Carlson - Linear thermoelasticity


• Greene, Patterson, Rowlands - Thermoelastic Stress Analysis

Useful links:

• Comsol online documentation


• Mathematica trial version


• Fast introduction for math students


• Elementary introduction to the Wolfram Language


• AceGen/AceFEM homepage

Lecture 4 - Tuesday afternoon - Material instabilities

• Lecture notes

Lecture 5 - Wednesday morning - Introduction to plasticity

• Lecture notes

Lecture 6 - Wednesday afternoon - Introduction to plasticity

• Lecture notes

Lecture 7 - Thursday morning - Elastoplasticity at large strain

• Lecture notes

Example of application: Powder compaction model

• Powder compaction model

References:

• BP yield function


• Powder compaction model

Lecture 8 - Thursday afernoon - Thermoplasticity

• Lecture notes

Example of application: Spherical shell with internal pressure and internal heating

• Spherical shell with internal pressure and internal heating

• Thermoelastic solution - Comsol simulation


• Thermoplastic solution - Comsol simulation

Lecture 9 - Friday morning - Viscoplasticity

• Lecture notes

Example of application: Thermo-visco-plastic model for compaction and sintering of ceramic powders

• Thermo-visco-plastic model for compaction and sintering of ceramic powders

References:

• Thermomechanical modelling of ceramic pressing and subsequent sintering

Lecture 10 - Friday afternoon - Material instabilities

• Lecture notes

Contacts Prof. Andrea Piccolroaz Dipartimento di Ingegneria Civile, Ambientale e Meccanica Università di Trento, via Mesiano, 77 I-38123 Trento (Italia) Tel: +39 0461 282583 Fax: +39 0461 282599 E-mail: andrea.piccolroaz@unitn.it

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