Nonlinear Mechanics of Surface Growth for Cylindrical and Spherical Elastic Bodies
This paper is dedicated to the memory of my friend Professor Bill Klug whose life was tragically cut short on June 1, 2016.
residual stress
Is it possible to solve buckling in Abaqus with only residual stress defined as predefined load?
Hi Sirs,
As title, I wondering if the problem can be solved with only material residual stress but no other external load applied?
After several trials, Abaqus returns message
"MASS OR DIFFERENTIAL STIFFNESS MATRIX IS COMPLETELY NULL. THE EIGENPROBLEM CANNOT BE SOLVED. IN A *BUCKLE ANALYSIS THE MOST LIKELY CAUSE IS THAT A NONZERO LOADING PATTERN WAS NOT SPECIFIED VIA *BOUNDARY, *CLOAD, *DLOAD, ETC,. SEE Eigenvalue Buckling Prediction IN THE ABAQUS/STANDARD USERS MANUAL"
Through thickness residual stress
I am modeling through thickness residual stresses as follows:
*Initial Conditions, Type=Stress, Section Points
all_elements, 1, 50,25, 0
all_elements, 2, 50,25, 0
all_elements, 3, 50,25, 0
all_elements, 4, 50,25, 0
.
.
ABAQUS documentation 6.14:
Data lines for TYPE=STRESS, SECTION POINTS:
First line:
Element number or element set label.
Section point number.
Value of first stress component.
Value of second stress component.
Etc., up to three stress components.
*Initial Conditions, Type=Stress, Section Points
all_elements, 1, 50,25, 0
all_elements, 2, 50,25, 0
all_elements, 3, 50,25, 0
all_elements, 4, 50,25, 0
.
.
ABAQUS documentation 6.14:
Data lines for TYPE=STRESS, SECTION POINTS:
First line:
Element number or element set label.
Section point number.
Value of first stress component.
Value of second stress component.
Etc., up to three stress components.
A Geometric Theory of Nonlinear Morphoelastic Shells
We formulate a geometric theory of nonlinear morphoelastic shells that can model the time evolution of residual stresses induced by bulk growth. We consider a thin body and idealize it by a representative orientable surface. In this geometric theory, bulk growth is modeled using an evolving referential configuration for the shell (material manifold). We consider the evolution of both the first and second fundamental forms in the material manifold by considering them as dynamical variables in the variational problem.
Residual Stresses and Poisson’s Effect Drive Shape Formation and Transition of Helical Structures
Strained multilayer structures are extensively investigated because of their applications in microelectromechanical/nano-elecromechanical systems. Here we employ a finite element method (FEM) to study the bending and twisting of multilayer structures subjected to misfit strains or residual stresses. This method is first validated by comparing the simulation results with analytic predictions for the bending radius of a bilayer strip with given misfit strains.
The Geometry of Discombinations and its Applications to Semi-Inverse Problems in Anelasticity
The geometric formulation of continuum mechanics provides a powerful approach to understand and solve problems in anelasticity where an elastic deformation is combined with a non-elastic component arising from defects, thermal stresses, growth effects, or other effects leading to residual stresses. The central idea is to assume that the material manifold, prescribing the reference configuration for a body, has an intrinsic, non-Euclidean, geometric structure. Residual stresses then naturally arise when this configuration is mapped into Euclidean space.
PhD Position in Fracture of Arctic Materials at the Norwegian University of Science and Technology (NTNU)
One PhD position in "Fracture of Arctic Materials" at the Norwegian University of Science and Technology (NTNU), Norway.
Forensics: residual stress of fractured part
I’ll present this below without the answer, in case you want to enjoy a little brain teaser. It is a solid and experimental mechanics problem that, while not terribly practical, I found very interesting:
A part fractures cleanly in two by brittle fracture (no plasticity) under the action of residual and applied stresses. You only have the broken part in front of you, no prior information.
What were the original residual stresses on the fracture plane?
Residual stresses in elastic medium upon uniform cooling
Hi All,
I am a student working on a project involving the effect of residual stresses in elastic and viscoealstic materials. I have a related question: When an easltic body is heated to a certain temperature (say 400 deg C) and then cooled uniformly to room temperature (20 deg C) with a constant cooling rate "q", does this generate any "un-desirable" (residual) stresses within the elastic body? i.e at a steady state - room temperature, does the final stress state within the body would be non-zero? Else, it would eventually reach a state of zero stresses? How?
