We have an exciting announcement about badges coming in May 2025. Until then, we will temporarily stop issuing new badges for course completions and certifications. However, all completions will be recorded and fulfilled after May 2025.
Continuum Physics
This learning track was developed by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys. These courses on continuum physics grew out of a short series of talks on materials physics at the University of Michigan. They are aimed at advanced graduate students, post-doctoral scholars, and faculty colleagues and detail early steps on a path of research in continuum physics. They also provide a second opinion for the more seasoned explorer of the science.
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Innovation Course
Remembering Vectors
In this course, we first discuss what exactly continuum physics means. Then we revisit vectors and revise concepts such as basic operations of vectors, basis vectors, etc. This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys.
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Innovation Course
Tensors
This course discusses the mathematical quantities called tensors and, their properties. Tensors and vector fields are discussed as well. This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys.
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Innovation Course
Kinematics of Motion
This course starts with a discussion on the motion of continuum bodies — how to describe and analyze the motion. The lectures cover the study of the kinematics of motion divided into four subcategories: Motion and Deformation, Lagrangian description, Eulerian description, and...Read more
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Innovation Course
Deformation
In this course, we discuss how to mathematically describe the distortion that solids and fluids undergo. We cover important topics such as (i) deformation of curves, surfaces and volumes; (ii) measures of strain; (iii) polar decomposition and (iv) rate of deformation. On completing th...Read more
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Innovation Course
Balance Laws in Continuum Physics
In this course, balance laws will be discussed, including the balance of mass, momentum, and energy. The balance of mass can be associated with diffusion. The balance of linear momentum is associated with Newton’s laws of motion, and the balance of angular moment...Read more
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Innovation Course
Stress in Continuum Mechanics
In this session, the balance of mechanical energy will be explored along with differing measures of stress. We will then delve into the work conjugate relations. This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys.
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Innovation Course
Constitutive Laws
We have learned that constitutive laws/relations are important for the study of continuum mechanics. In this course, the focus will be on how the behavior of a material can be captured by using constitutive relations. This course was created for Ansys Innovation Courses by Professor Krishna Garikipati and Dr. Gregory Teichert, University of Michigan, in partnership with Ansys.
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Innovation Course
Objectivity and Material Symmetry
In this course, we discuss the frame of reference and material symmetry and how it affects the constitutive relations. We also discuss the objectivity of several classes of materials such as elastic, hyperelastic solids, and viscous fluids. We also briefly discus...Read more
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Innovation Course
Linearized Elasticity
In this course, we will talk about deriving linearized elasticity. This can be explained using kinematics, constitutive relations, and the balance of linear momentum. As we conclude our learning on the continuum mechanics, we will do a quick recap followed by giving due cred...Read more
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Innovation Course
Thermomechanics
In this course, we will begin by discussing the two laws of thermodynamics — the balance of energy law and the entropy inequality law. We then use the Legendre transformation to derive the Helmholtz free energy. Following this, we discuss the Clausius-Planck and the Clausius-Duhem...Read more
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Innovation Course
Variational Principles
In this course, we begin by discussing what variational principles are and how they can be applied to nonlinear elasticity. We then apply variational derivatives for nonlinear elasticity to develop the weak form of balance of linear momentum for static problems. Finally, we...Read more
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Innovation Course
Mass Transport
In this course, we will discuss mass transport by considering the transport of the substance through space. Next, we will talk about the constitutive relations for flux in mass transport. Then, we will set up the foundation for the treatment of mass transport in continuum physics. ...Read more
