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Debanjana Adhikari posted an Question
May 24, 2020 • 22:25 pm 30 points
  • CSIR NET
  • Physical Sciences

Please explain

In the most general case, which one of the following quantities is NOT a second order tensor? (a) Stress (b) Strain (d) Pressure (c) Moment of inertia

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    Chandra prakash

    There are the following tensor types in mathematics: 0 order tensor (scalar) - only magnitude is needed to define it I order tensor (vector) - magnitude together with direction are needed to define it II order tensor - magnitude as well as 2 directions (indices) are needed to define it In case of stress we need magnitude, plane on which it acts and direction of each stress component. Thus we use II order tensor to describe stress state. Tensor of n-th order has 3n components so stress tensor has 9 components. However some of them are equal to each other and only 6 stress components are needed to fully define stress state at a point.

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    Ruby negi

    according to me pressure is not the second order tensor...

    eduncle-logo-app

    Ms. vaishali has already posted two pages where she showed that stress and strain are second order tensors...

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    Dhairya sharma

    see the example. it shows rotation somewhere so it's a first order.

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    Abhishek singh best-answer

    Strain is a tensor, but it is not a general case. it may be a vector in some cases. If the gradient was of a scalar field with respect to a vector, the quantity would turn out to be a vector. This is the case because the scalar field has just one component, and the gradient operator decides how that component varies with each of the components of the vector. Hence, in a 3D space, the gradient of a scalar gives a vector with 3 components. But remaining three quantities are always 2nd rank tensor in their most general form.

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    So option B is correct.

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