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Lecture

Biomechanical Tissues: Non-linear Constitutive Laws

In course

ME-482: Biomechanics of the musculoskeletal system

The basis for a mechanical description of the musculoskeletal system are presented. This description is based on the concepts of solid mechanics, physiology and anatomy of the musculoskeletal system. Concrete examples of the development of implants are als ...

Description

This lecture covers biomechanics at the tissue level, focusing on continuum mechanics and constitutive laws, both linear and non-linear. The compressive behavior of the meniscus and ligaments under traction are discussed, along with the challenges of soft tissues biomechanics. The treatment options for ACL rupture, including graft types and surgical approaches, are explored. Additionally, the lecture delves into soft tissue mechanical remodeling, stress-strain curves, and the mechanical descriptions of ligaments. Various parameters influencing stress-strain curves are evaluated, and the differences between linear elastic and non-linear elastic descriptions are explained. The viscoelastic and viscous behaviors of ligaments are also examined.

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Instructor

Dominique Pioletti

Dominique Pioletti received his Master in Physics from the Swiss Federal Institute of Technology Lausanne (EPFL) in 1992. He pursued his education in the same Institution and obtained his PhD in biomechanics in 1997. He developed original constitutive laws taking into account viscoelasticity in large deformations. Then he spent two years at UCSD as post-doc fellow acquiring know-how in cell and molecular biology. He was interested in particular to gene expression of bone cells in contact to orthopedic implant. In April 2006, Dominique Pioletti was appointed Assistant Professor tenure-track at the EPFL and is director of the Laboratory of Biomechanical Orthopedics. His research topics include biomechanics and tissue engineering of musculo-skeletal tissues; mechano-transduction in bone; development of orthopedic implant as drug delivery system. Since 2013, he has been promoted to the rank of Associate Professor.

Official source

Ontological neighbourhood

Chemical engineering

Materials science: Deformation of materials

Related concepts (27)

Stress–strain curve

In engineering and materials science, a stress–strain curve for a material gives the relationship between stress and strain. It is obtained by gradually applying load to a test coupon and measuring the deformation, from which the stress and strain can be determined (see tensile testing). These curves reveal many of the properties of a material, such as the Young's modulus, the yield strength and the ultimate tensile strength. Generally speaking, curves representing the relationship between stress and strain in any form of deformation can be regarded as stress–strain curves.

Infinitesimal strain theory

In continuum mechanics, the infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the displacements of the material particles are assumed to be much smaller (indeed, infinitesimally smaller) than any relevant dimension of the body; so that its geometry and the constitutive properties of the material (such as density and stiffness) at each point of space can be assumed to be unchanged by the deformation.

Yield (engineering)

In materials science and engineering, the yield point is the point on a stress-strain curve that indicates the limit of elastic behavior and the beginning of plastic behavior. Below the yield point, a material will deform elastically and will return to its original shape when the applied stress is removed. Once the yield point is passed, some fraction of the deformation will be permanent and non-reversible and is known as plastic deformation.

Stress–strain analysis

Stress–strain analysis (or stress analysis) is an engineering discipline that uses many methods to determine the stresses and strains in materials and structures subjected to forces. In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material. In simple terms we can define stress as the force of resistance per unit area, offered by a body against deformation.

Deformation (engineering)

In engineering, deformation refers to the change in size or shape of an object. Displacements are the absolute change in position of a point on the object. Deflection is the relative change in external displacements on an object. Strain is the relative internal change in shape of an infinitesimally small cube of material and can be expressed as a non-dimensional change in length or angle of distortion of the cube. Strains are related to the forces acting on the cube, which are known as stress, by a stress-strain curve.

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Deformation and Strain Tensors

Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Untitled

Orthotropic Continuum Damage Models