--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2023 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+// Test that a const SymmetricTensor is not assignable, i.e., the accessors
+// return a const reference
+
+#include <deal.II/base/symmetric_tensor.h>
+#include <deal.II/base/tensor.h>
+#include <deal.II/base/vectorization.h>
+
+#include "../tests.h"
+
+int
+main()
+{
+ initlog();
+
+ {
+ const SymmetricTensor<2, 3, double> st{};
+ static_assert(std::is_same<decltype(st[0][0]), const double &>::value);
+ }
+
+ {
+ const SymmetricTensor<2, 3, VectorizedArray<double>> stv{};
+ static_assert(std::is_same<decltype(stv[0][0]),
+ const VectorizedArray<double> &>::value);
+ }
+
+ deallog << "OK" << std::endl;
+}