Dr. Mara Jess Lamela Rey STRUCTURAL MECHANICS DIVISION DEPT. - - PowerPoint PPT Presentation

▶
dr mar a jes s lamela rey structural mechanics division
SMART_READER_LITE
LIVE PREVIEW

Dr. Mara Jess Lamela Rey STRUCTURAL MECHANICS DIVISION DEPT. - - PowerPoint PPT Presentation

Sep 29, 2023 161 likes •487 views

Dr. Mara Jess Lamela Rey STRUCTURAL MECHANICS DIVISION DEPT. CONSTRUCTION AND MANUFACTURING ENG. FACULTY OF ENGINEERING OF GIJN UNIVERSITY OF OVIEDO. SPAIN University of Oviedo The University of Oviedo is an institution with more

slide-1
SLIDE 1
  • Dr. María Jesús Lamela Rey

STRUCTURAL MECHANICS DIVISION

  • DEPT. CONSTRUCTION AND MANUFACTURING ENG.

FACULTY OF ENGINEERING OF GIJÓN UNIVERSITY OF OVIEDO. SPAIN

slide-2
SLIDE 2
  • The University of Oviedo is an institution with more than 400

years of history. It was founded in 1579, but its courses started in 1608.

  • More than 30.000 students and 3.000 academic staff distributed

in three city campuses (Oviedo, Gijón and Mieres),

  • It offers academic programs in all branches of knowledge

University of Oviedo

slide-3
SLIDE 3

Faculties

Biology Sciences Law Economy and Business Arts Education and Teacher Training Geology Medicine and Health Sciences Psichology Chemistry Commerce, Tourism and Social Sciences

Higher Technical Schools

Polytechnic School of Engineering

  • f Gijón (Faculty of Engineering)

Polytechnic School of Mieres Polytechnic School of Mining Eng. Nautical School

Professional Schools

Sports Medicine and Physical Education Computer Engineering

  • All degrees have been adapted to the

European Higher Education Area

  • The University has done a reorganization of

faculties and schools to create great research and teaching centres

slide-4
SLIDE 4

Oviedo University International Offers:

  • Bilingual degrees
  • International Masters' degrees
  • Agreements with more than 40 countries
  • Every year 1,300 grants for study or

work placements in more than 400 universities

slide-5
SLIDE 5

Faculty of Engineering Campus de Viesques. Gijón

Engineering Bachelors:

  • Chemical
  • Industrial Technologies
  • Mechanical (Construction and Mechanical Design)
  • Electrical
  • Electronics and Automatics
  • Computer Sciences and Information Technologies
  • Tecnology and Telecommunication Services

Engineering Masters:

  • Mechatronics and Micro-Mechatronics Systems

(Erasmus Mundus Master)

  • Sustainable Transportation and Electrical Power

Systems (Erasmus Mundus Master)

  • Management of Industrial Design (UPV-UO)
  • Energy (UO)
slide-6
SLIDE 6

LOCATION

slide-7
SLIDE 7

STRUCTURAL MECHANICS DIVISION

  • DEPT. CONSTRUCTION AND MANUFACTURING ENGINEERING

FACULTY OF ENGINEERING OF GIJÓN UNIVERSITY OF OVIEDO

slide-8
SLIDE 8

8

  • Characterization of materials
  • Fatigue
  • Fracture mechanics
  • Probabilistic models
  • Biomechanics
  • Modal analysis

Structural Mechanics Division Research Lines:

slide-9
SLIDE 9

PROBABILISTIC DESIGN MODEL FOR LAMINATED GLASS

slide-10
SLIDE 10

10

The aim of this research consists of developing

a design methodology for monolithic and laminated glass, particularly glazing plates, proposing a new design code for structural glass in Spain.

Due to its brittle nature, glass requires rigorous

design methods, since its resistance is very much dependent on surface microcraks, element size and loading pattern.

The design model proposed is developed on the

basis of the non-linear plate theory and the elastic and viscoelastic material behaviour of constituents, together with fracture mechanics criteria and probabilistic considerations.

  • 1. Introduction

Research Project Glass, PN 2005-2008 (EPSIG-UO & ETSII-US) Research Project Glass, PN 2012-2014 (EPIG-UO & ETSII- UPM)

slide-11
SLIDE 11

11

Load & geometry Stress state Characterization tests Critical stress, σe Part III. PROBABILITY OF FAILURE, Pf Part I. STRENGTH Part II. LOADING Fracture criteria Weibull cdf, F(σ)

  • 2. Description of the design model

Stress model (critical stress)

slide-12
SLIDE 12

12

  • 2. Description of design model

The characterization of glass can be expressed by the cdf of σ from 4-P bending tests, assuming a 3-parameter Weibull distribution and an area of reference (Aref)

Part I. Strength: Glass characterization

( )

λ ≥ σ               δ λ − σ − − = σ = σ

β

; exp 1 P ) ( F

ref A , f

( )

λ ≥ σ               δ λ − σ − − = σ

β

; A A exp 1 P

ref i i A , f

( )

      +       σ λ − + β =

1 ref

L 1 1 L 2 w A

slide-13
SLIDE 13

13

  • 2. Description of design model

Part I. Strength: Glass characterization

Annealed glass Tempered glass 4-P bending test

slide-14
SLIDE 14

14

140 150 160 170 180 190 200 210 220 230 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 σrot [MPa] Pf [ ] β = 9.95 λ = 84.19 δ = 111.9 R2 = 0.9159 40 45 50 55 60 65 70 75 80 85 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 σrot [MPa] Pf [ ] β = 2.85 λ = 40.88 δ = 20.93 R2 = 0.9816

Annealed glass Tempered glass

  • 2. Description of design model

Part I. Strength: Glass characterization

slide-15
SLIDE 15

Strain Stress Time

  • Relaxation test

) ( ) (

  • σ t

t E

  • )

( ) ( σ t t D

  • Creep test

Time Strain Stress

  • 2. Description of design model

Part I. Strength: PVB viscoelastic characterization

slide-16
SLIDE 16

16

K(t) = 2 GPa

  • 2. Description of design model

Part I. Strength: PVB viscoelastic characterization

DMA RSA3, TA Instruments Tref = 20 ºC

slide-17
SLIDE 17

17

  • 2. Description of design model

Part II. Loading: Finite element analysis (FEA)

Laminated annealed glass Laminated tempered glass Metallic support

slide-18
SLIDE 18

18

Fracture criteria:

  • 2. Description of design model

Part II. Loading Part III. Probability of failure

(plate)

slide-19
SLIDE 19

19

Laminated annealed glass

5 + 5 plates of 1.40 x 1.40 m, e = 6 and 8 mm (v = 3 mm/min)

  • 3. Experimental programme
slide-20
SLIDE 20

20

  • 3. Experimental programme

Laminated tempered glass

5 plates of 1.40 x 1.40 m, e = 9 mm (v = 10 mm/min)

slide-21
SLIDE 21

21

  • 4. Contrast of results

Laminated annealed glass plates (6 mm)

0,0 0,2 0,4 0,6 0,8 1,0 1,2 1,4 1,6 2 4 6 8 10 12 14 16 Uz [mm] Load [kN]

Plate 1 Plate 2 Plate 3 Plate 4 Plate 5 FEA Encastre FEA Pinned FEA Pinned (vertical)

20 40 60 80 100 500 700 900 1100 1300 1500 1700 1900 2100 2300 2500

Pf [%] Load [N]

Pin-support Encastre Experimental data

slide-22
SLIDE 22

22

  • 4. Contrast of results

Laminated tempered glass plates (9 mm)

1 2 3 4 5 6 7 20 40 60 80 100 uZ [mm] Load [kN]

Plate 1 Plate 2 Plate 3 Plate 4 Plate 5 FEA

20 40 60 80 100 2500 3000 3500 4000 4500 5000 5500 6000

Pf [%] Load [N]

Point support Experimental data

slide-23
SLIDE 23

BIOMECHANICAL PROPERTIES OF THE TEMPOROMANDIBULAR JOINT DISC

slide-24
SLIDE 24

Open Close

Research Project TMJ, PN 2000-2003 (EPIG,EE-UO & CPS-UZ) Research Project TMJ, CEI 2011-2012 (EPIG,EE-UO & DO-UT)

  • 1. Introduction

24

slide-25
SLIDE 25

Biomechanical machine, W+B

1 2 3

  • 1. Introduction

The aim of this research consists of developing an experimental programme to

simulate the behaviour of biological materials (TMJ discs) under real loading in

  • rder to know its biomechanical properties and to propose substitutes materials

for implants.

25

slide-26
SLIDE 26

DMA RSA3, TA Instruments

  • Relaxation and creep viscoelastic test in compression
  • Porcine TMJ discs
  • T = 37 ºC and saline solution
  • 2. TMJ discs characterization

26

slide-27
SLIDE 27

Relaxation tests:

  • = 5, 10, 15 and 20%

10-2 10-1 100 101 102 103 0.0 2x105 4x105 6x105 8x105 1x106 1.2x106 1.4x106 20% deformación E(t) medial E(t) central E(t) lateral E(t) posterior E(t) anterior

E (Pa)

time (s) 10-2 10-1 100 101 102 103 0.0 1x105 2x105 3x105 4x105 5x105 6x105 7x105 8x105 15% deformación E(t) medial E(t) central E(t) lateral E(t) posterior E(t) anterior

E (Pa)

time (s) 10-2 10-1 100 101 102 103 0.0 5x104 1x105 1.5x105 2x105 2.5x105 3x105 3.5x105 10% deformación E(t) medial E(t) central E(t) lateral E(t) posterior E(t) anterior

E (Pa)

time (s) 10-2 10-1 100 101 102 103 0.0 2x104 4x104 6x104 8x104 1x105 1.2x105 1.4x105 1.6x105 5% deformación E(t) medial E(t) central E(t) lateral E(t) posterior E(t) anterior

E (Pa)

time (s)

Central

10-2 10-1 100 101 102 103 0.0 2x105 4x105 6x105 8x105 1x106 1.2x106 Zona Lateral E(t) 20% E(t) 15% E(t) 10% E(t) 5%

E (Pa)

time (s)

  • 3. Experimental programme

27

slide-28
SLIDE 28

0.0 100.0 200.0 300.0 400.0 500.0 600.0 8x10-6 1.2x10-5 1.6x10-5 2x10-5 2.4x10-5 2.8x10-5 Tensión 15KPa J(t)anterior J(t)posterior J(t)lateral J(t)central J(t)medial 0.0 100.0 200.0 300.0 400.0 500.0 600.0 1x10-5 2x10-5 3x10-5 4x10-5

D (Pa-1)

time (s) Tensión 10KPa D(t)anterior D(t)posterior D(t)lateral D(t)central D(t)medial 0.0 100.0 200.0 300.0 400.0 500.0 600.0 1x10-5 3x10-5 5x10-5 7x10-5

D (Pa-1)

time (s) Tensión 5KPa D(t)anterior D(t)posterior D(t)lateral D(t)central D(t)medial 0.0 100.0 200.0 300.0 400.0 500.0 600.0 1x10-5 3.5x10-5 6x10-5 8.5x10-5 1.1x10-4

D (Pa-1)

time (s) Tensión 2.5KPa D(t)anterior D(t)posterior D(t)lateral D(t)central D(t)medial

0.0 100.0 200.0 300.0 400.0 500.0 600.0 0.0 2x10-5 4x10-5 6x10-5 8x10-5 Zona lateral D(t) 2,5KPa D(t) 5KPa D(t) 10Kpa D(t) 15KPa

D (Pa-1)

time (s)

  • 3. Experimental programme

Creep tests: σ σ σ σ = 2.5, 5, 10 and 15 kPa

28

slide-29
SLIDE 29

10-2 10-1 100 101 102 103 0.0 2x105 4x105 6x105 8x105 1x106 1.2x106 Zona Lateral E(t) experimental E(t) ajuste Maxwell generalizado de 5 términos E(t) 20% E(t) 15% E(t) 10% E(t) 5%

E (Pa)

time (s)

  • 4. Master curves fitting process

Relaxation Modulus, E(t)

∑

  • n

1 i i

  • i
  • )

t exp( ) ( e ) , t ( E

29

slide-30
SLIDE 30

0.0 100.0 200.0 300.0 400.0 500.0 600.0 0.0 1x10-5 2x10-5 3x10-5 4x10-5 5x10-5 6x10-5 7x10-5 time (s)

D(t) [Pa-1 ]

zona lateral D(t) experimental D(t) ajuste

r2=0,9975 r2=0,9947 r2=0,9931 r2=0,9980

15 KPa 10 KPa 5 KPa 2.5 KPa

  • 4. Master curves fitting process

∑

      

  • σ
  • σ

n 1 i i

  • i
  • )

t exp( 1 ) ( d D ) , t ( D

30

Creep Modulus, D(t)

slide-31
SLIDE 31

Teoría de Interconversiones

Análisis Teórico

Interconversión entre funciones viscoelásticas del PMMA

  • 5. Interconversion methods

31

slide-32
SLIDE 32

Thank you for your attention !!