LS6 IMMUNITY AND INFECTION: immunobiology, aetiology of immune disorders, microbiology, virology, parasitology, global and other infectious diseases, population dynamics of infectious diseases, veterinary medicine.
LS7 DIAGNOSTIC TOOLS, THERAPIES AND PUBLIC HEALTH: aetiology, diagnosis and treatment of disease, public health, epidemiology, pharmacology, clinical medicine, regenerative medicine, medical ethics.
LS8 EVOLUTIONARY POPULATION AND ENVIRONMENTAL BIOLOGY: evolution, ecology, animal behaviour, population biology, biodiversity, biogeography, marine biology, ecotoxycology, prokaryotic biology.
LS 9 APPLIED LIFE SCIENCE S AND BIOTECHNOLOGY: agricultural, animal, fishery, forestry and food sciences, biotechnology, chemical biology, genetic engineering, synthetic biology, industrial biosciences, environmental biotechnology and remediation.
ERC p anel structure: Life Sciences Mathematics as a key to new technologies
Parameters of micromechanical model: k n , k T , R n , R T
Macroscopic material properties:
Determination of the relationship between micro- and macroscopic parameters
Homogenization, averaging procedures
Simulation of standard laboratory tests (unconfined compression, Brazilian test)
Micromechanical constitutive laws Macroscopic stress-strain relationships micro-macro relationships inverse analysis Mathematics as a key to new technologies
Simulation of the unconfined compression test Distribution of axial stresses Force − strain curve Mathematics as a key to new technologies
Numerical simulation of the Brazilian test Distribution of stresses Syy Force−displacement curve (perpendicular to the direction of loading) Mathematics as a key to new technologies
Numerical simulation of the rock cutting test Failure mode Force vs. time Average cutting force: experiment: 7500 N 2D simulation: 5500 N (force/20mm, 20 mm – spacing between passes of cutting tools) Analysis details: 35 000 discrete elements, 20 hours CPU (Xeon 3.4 GHz) Mathematics as a key to new technologies
Rock cutting in dredging Mathematics as a key to new technologies
Analysis details: 550 000 steps 16 hrs. CPU (Xeon 3.4 GHz) Mathematics as a key to new technologies DEM/FEM simulation of dredging – example of multiscale modelling
DEM/FEM simulation of dredging – example of multiscale modelling Map of equivalent stresses Mathematics as a key to new technologies
Methods of reliability computation Monte Carlo Adapt ive Monte Carlo Importance Sampling FORM SORM Response Surface Method Simulation methods Approximation methods Mathematics as a key to new technologies
Real part (kitchen sink) with breakage Results of simulation Deformed shape with thickness distribution Forming Limit Diagram Failure in metal sheet forming processes Mathematics as a key to new technologies
Forming Limit Diagram (FLD) Major principal strains Blank holding force: 19.6 kN, friction coefficient: 0.162, punch stroke: 20 mm Experiment - breakage at 19 mm punch stroke Minor principal strains D eep drawing of a s quare cup ( Numisheet’93 ) Mathematics as a key to new technologies
Limit state surface – Forming Limit Curve (FLC) Limit state function – minimum distance from FLC = safety margin ( positive in safe domain , negative in failure domain ) M etal sheet forming processes – reliability analysis Mathematics as a key to new technologies